Sanitary Tissue Product with a Shaped Line of Weakness

ABSTRACT

A roll of sanitary tissue product comprising a shaped line of weakness, where the roll of sanitary tissue product may exhibit a roll compressibility of from about 4% to about 10% and a LWP Factor of greater than about 8.

CROSS REFERENCE TO RELATED APPLICATIONS

This application is a continuation of, and claims priority under 35U.S.C. §120 to U.S. Pat. Application Serial No. 17/186,031, filed onFeb. 26, 2021, which is a continuation of, and claims priority under 35U.S.C. §120 to, U.S. Pat. Application Serial No. 16/127,519, filed onSep. 11, 2018, now granted U.S. Pat. No. 10,947,671 issued Mar. 16,2021, which claims the benefit, under 35 USC §119(e), of U.S.Provisional Pat. Application Serial No. 62/556,720, filed on Sep. 11,2017, the entire disclosures of which are fully incorporated byreference herein.

FIELD OF THE INVENTION

The present disclosure relates to sanitary tissue products with a shapedline of weakness, and more specifically, to rolled sanitary tissueproducts with a shaped line of weakness that meet the needs of theconsumer for reliable one hand tearing and dispensability, while alsobeing commercial-scale converting process friendly.

BACKGROUND

Many rolled products include a line of weakness having one or moreperforations to aid in tearing individual articles off the product roll.For example, such products can include wax paper, aluminum foil,disposable bags, and sanitary tissue products such as toilet tissue andpaper towels. Specifically, rolls of sanitary tissue products mayinclude perforation lines to more easily allow the tearing of discretesheets from the roll. Such products are commonly used in households,businesses, restaurants, shops, and the like.

Typically, a line of weakness in a sanitary tissue product consists of astraight line perforation across the width of the web (parallel to theCD direction of the web). However, it has been found that sanitarytissue consumers desire products that have a distinguishing feature overother products. Accordingly, sanitary tissue manufacturers desire toproduce products in which consumers can easily distinguish theirproducts from similar products produced by competitors. A shaped (i.e.,a nonlinear or curvilinear) line of weakness is one distinguishingcharacteristic that can be added to a sanitary tissue product to addressthe wants of both manufacturer and consumer. Moreover, a shaped line ofweakness not only provides a way for consumers to distinguish amanufacture’s product, but also communicates to consumers a perceptionof luxury, elegance, softness, and/or strength, as well as potential forease of dispensability.

Previous attempts to run commercial-scale production of rolled sanitarytissue products that include a shaped line of weakness have beenunsuccessful. Early test-stand development work showed promise, but thescale-up to high speed, commercial-scale converting lines was met withfailure. Previous approaches failed because they did not consider theimpacts of the high speeds of the commercial-scale converting equipment,the dust hygiene implications on such equipment, the tight tolerancesbetween the equipment (e.g., spacing between roll body surfaces of theconverting equipment), the web sheet aerodynamics, the large web sheetwidths, and the extremes of the CD and MD property variation of thesanitary tissue webs being converted, as well as other factors.Accordingly, previous commercial-scale production attempts were plaguedby short run times of just a few minutes due to web breaks, an inabilityto reach or maintain target production rates (i.e., low reliabilitypercentage), an inability to reach target web tensions without webbreaks, and an inability to wind rolls to target compressibility orfirmness (e.g., the sanitary tissue rolls were mushy and would not beacceptable to consumers, nor run well on downstream high-speedconverting and packaging equipment). Net, from a commercial-scaleconverting process perspective, previous attempts to impart a shapedline of weakness feature on rolled sanitary tissue products weredramatically unsuccessful based upon their inability to obtain thecombination of both process reliability and product qualityrequirements.

Accordingly, there is a need for sanitary tissue products with a shapedline of weakness that exhibit one or more performance parameters and/orperformance factors that indicate that the sanitary tissue both meetsthe needs of a consumer for reliable one hand tearing dispensability,and is also commercial-scale converting process friendly. Additionally,there is a need for sanitary tissue products with a shaped line ofweakness that exhibit one or more performance parameters and/orperformance factors that indicate that the sanitary tissue both meetsthe needs of a consumer for reliable one hand tearing dispensability,and is also commercial-scale converting process friendly, while alsocommunicating the softness of the sanitary tissue to the consumer.

Accordingly, there is also a need for a roll of sanitary tissue productwith a shaped line of weakness, wherein the roll exhibits a target rollcompressibility. Further, there is a need for a roll of sanitary tissueswith a shaped line of weakness, wherein the roll exhibits a target rollcompressibility, and the sanitary tissue on the roll meets targetconsumer dispensability as measured by the Full Sheet AverageTrapezoidal Tear Strength Test Method. Further, there is a need for aroll of sanitary tissues with a shaped line of weakness, wherein theroll exhibits a target roll compressibility, and comprises one or moreperformance parameters and/or performance factors that indicate that thesanitary tissue on the roll both meets the needs of a consumer forreliable one hand tearing dispensability, and is also commercial-scaleconverting process friendly, while also communicating the softness ofthe sanitary tissue to the consumer through the free fiber ends alongthe ruptured shaped line of weakness.

BRIEF DESCRIPTION OF THE DRAWINGS

The above-mentioned and other features and advantages of thisdisclosure, and the manner of attaining them, will become more apparentand the disclosure itself will be better understood by reference to thefollowing description of non-limiting examples of the disclosure takenin conjunction with the accompanying drawings, wherein:

FIG. 1 is a perspective view of a perforating apparatus in accordancewith one non-limiting form of the present disclosure;

FIG. 2A is a perspective view of a cylinder in accordance with onenon-limiting form of the present disclosure;

FIG. 2B is a partial perspective view of a cylinder in accordance withone non-limiting form of the present disclosure;

FIG. 3A is a perspective view of a cylinder including an anvil block andan anvil bead in accordance with one non-limiting form of the presentdisclosure;

FIG. 3B is a partial perspective view of a cylinder including an anvilblock and an anvil bead in accordance with one non-limiting form of thepresent disclosure;

FIG. 3C is a partial side view of an anvil block and an anvil bead inaccordance with one non-limiting form of the present disclosure;

FIG. 4 is an end view of a cylinder including an anvil block and ananvil bead in accordance with one non-limiting form of the presentdisclosure;

FIG. 5A is a perspective view of a support including a blade inaccordance with one non-limiting form of the present disclosure;

FIG. 5B is a partial perspective view of a support including a blade inaccordance with one non-limiting form of the present disclosure;

FIG. 5C is a schematic representation of a notched blade disposed on asupport and a shaped anvil disposed in a cylinder in accordance with onenon-limiting form of the present disclosure;

FIG. 5D is a schematic representation of a portion of an anvilindicating perforating length or non-perforating length to determine thetooth length or recessed portion length in accordance with onenon-limiting form of the present disclosure;

FIG. 5E is a schematic representation of a notched blade disposed on asupport and a shaped anvil disposed in a cylinder in accordance with onenon-limiting form of the present disclosure;

FIG. 6A is a partial side view of a cylinder and a support and a webtraversing therebetween in accordance with one non-limiting form of thepresent disclosure;

FIG. 6B is a partial side view of a cylinder and a support in accordancewith one non-limiting form of the present disclosure;

FIG. 7 is a partial side view of a cylinder and a support and the airflow during perforation of a web in accordance with one non-limitingform of the present disclosure; and

FIG. 8 is a perspective view of a web in accordance with onenon-limiting form of the present disclosure;

FIGS. 8A-8Q are schematic representations of the shape of a line ofweakness in accordance with one non-limiting form of the presentdisclosure;

FIG. 9 is a schematic representation of the testing device used in theroll compressibility measurement; and

FIG. 10 is a schematic representation of the testing device used in theroll firmness measurement.

DETAILED DESCRIPTION

Various non-limiting forms of the present disclosure will now bedescribed to provide an overall understanding of the principles of thestructure, properties, function, manufacture, and use of a webcomprising a shaped line of weakness. The features in connection withany particular non-limiting form detailed or illustrated herein can becombined with the features of other non-limiting forms detailed orillustrated herein. Such modifications and variations are intended to beincluded within the scope of this disclosure.

“Fibrous structure” as used herein means a structure that comprises oneor more fibrous elements. In one example, a fibrous structure accordingto the present disclosure means an association of fibrous elements thattogether form a structure capable of performing a function. Anonlimiting example of a fibrous structure of the present disclosure isan absorbent paper product, which can be a sanitary tissue product suchas a paper towel, bath tissue, or other rolled, absorbent paper product.

Non-limiting examples of processes for making fibrous structures includeknown wet-laid papermaking processes, air-laid papermaking processes,and wet, solution, and dry filament spinning processes, for examplemeltblowing and spunbonding spinning processes, that are typicallyreferred to as nonwoven processes. Such processes can comprise the stepsof preparing a fiber composition in the form of a suspension in amedium, either wet, more specifically aqueous medium, or dry, morespecifically gaseous, i.e. with air as medium. The aqueous medium usedfor wet-laid processes is oftentimes referred to as fiber slurry. Thefibrous suspension is then used to deposit a plurality of fibers onto aforming wire or belt such that an embryonic fibrous structure is formed,after which drying and/or bonding the fibers together results in afibrous structure. Further processing the fibrous structure can becarried out such that a finished fibrous structure is formed. Forexample, in typical papermaking processes, the finished fibrousstructure is the fibrous structure that is wound on the reel at the endof papermaking and can subsequently be converted into a finished product(e.g., a sanitary tissue product).

“Fibrous element” as used herein means an elongate particulate having alength greatly exceeding its average diameter, i.e., a length to averagediameter ratio of at least about 10. A fibrous element may be a filamentor a fiber. In one example, the fibrous element is a single fibrouselement rather than a yarn comprising a plurality of fibrous elements.

The fibrous elements of the present disclosure may be spun from polymermelt compositions via suitable spinning operations, such as meltblowingand/or spunbonding and/or they may be obtained from natural sources suchas vegetative sources, for example trees.

The fibrous elements of the present disclosure may be monocomponentand/or multicomponent. For example, the fibrous elements may comprisebicomponent fibers and/or filaments. The bicomponent fibers and/orfilaments may be in any form, such as side-by-side, core and sheath,islands-in-the-sea and the like.

“Filament” as used herein means an elongate particulate as describedabove that exhibits a length of greater than or equal to 5.08 cm (2 in.)and/or greater than or equal to 7.62 cm (3 in.) and/or greater than orequal to 10.16 cm (4 in.) and/or greater than or equal to 15.24 cm (6in.).

Filaments are typically considered continuous or substantiallycontinuous in nature. Filaments are relatively longer than fibers.Non-limiting examples of filaments include meltblown and/or spunbondfilaments. Non-limiting examples of polymers that can be spun intofilaments include natural polymers, such as starch, starch derivatives,cellulose, such as rayon and/or lyocell, and cellulose derivatives,hemicellulose, hemicellulose derivatives, and synthetic polymersincluding, but not limited to polyvinyl alcohol, thermoplastic polymer,such as polyesters, nylons, polyolefins such as polypropylene filaments,polyethylene filaments, and biodegradable thermoplastic fibers such aspolylactic acid filaments, polyhydroxyalkanoate filaments,polyesteramide filaments and polycaprolactone filaments.

“Fiber” as used herein means an elongate particulate as described abovethat exhibits a length of less than 5.08 cm (2 in.) and/or less than3.81 cm (1.5 in.) and/or less than 2.54 cm (1 in.). A fiber can beelongate physical structure having an apparent length greatly exceedingits apparent diameter (i.e., a length to diameter ratio of at leastabout 10.) Fibers having a non-circular cross-section and/or tubularshape are common; the “diameter” in this case can be considered to bethe diameter of a circle having a cross-sectional area equal to thecross-sectional area of the fiber.

Fibers are typically considered discontinuous in nature. Non-limitingexamples of fibers include pulp fibers, such as wood pulp fibers, andsynthetic staple fibers such as polypropylene, polyethylene, polyester,copolymers thereof, rayon, glass fibers and polyvinyl alcohol fibers.

Staple fibers may be produced by spinning a filament tow and thencutting the tow into segments of less than 5.08 cm (2 in.) thusproducing fibers.

In one example of the present disclosure, a fiber may be a naturallyoccurring fiber, which means it is obtained from a naturally occurringsource, such as a vegetative source, for example a tree and/or otherplant. Such fibers are typically used in papermaking and are oftentimesreferred to as papermaking fibers. Papermaking fibers useful in thepresent disclosure include cellulosic fibers commonly known as wood pulpfibers. Applicable wood pulps include chemical pulps, such as Kraft,sulfite, and sulfate pulps, as well as mechanical pulps including, forexample, groundwood, thermomechanical pulp and chemically modifiedthermomechanical pulp. Chemical pulps, however, may be preferred sincethey impart a superior tactile sense of softness to fibrous structuresmade therefrom. Pulps derived from both deciduous trees (hereinafter,also referred to as “hardwood”) and coniferous trees (hereinafter, alsoreferred to as “softwood”) may be utilized. The hardwood and softwoodfibers can be blended, or alternatively, can be deposited in layers toprovide a stratified web. Also applicable to the present disclosure arefibers derived from recycled paper, which may contain any or all of theabove categories of fibers as well as other non-fibrous polymers such asfillers, softening agents, wet and dry strength agents, and adhesivesused to facilitate the original papermaking.

In addition to the various wood pulp fibers, other cellulosic fiberssuch as cotton linters, rayon, lyocell, bamboo, and bagasse fibers canbe used in the fibrous structures of the present disclosure.

“Sanitary tissue product” or “sanitary tissue” as used herein means oneor more finished fibrous structures, that are useful as a wipingimplement for post-urinary and post-bowel movement cleaning (e.g.,toilet tissue, also referred to as bath tissue), forotorhinolaryngological discharges (e.g., facial tissue), andmulti-functional absorbent and cleaning and drying uses (e.g., papertowels, shop towels). The sanitary tissue products can be embossed ornot embossed, and/or creped or uncreped. Any of the sanitary tissueproducts detailed herein can be provided in the form of “Rolledproduct(s),” as defined herein.

“Basis Weight” as used herein is the weight per unit area of a samplereported in lbs/3000 ft² or g/m².

“Density” as used herein is calculated as the quotient of the BasisWeight expressed in grams per square meter divided by the Caliperexpressed in microns. The resulting Density is expressed as grams percubic centimeter (g/cm³ or g/cc).

“Ply” as used herein means an individual, integral fibrous structure.

“Plies” as used herein means two or more individual, integral fibrousstructures disposed in a substantially contiguous, face-to-facerelationship with one another, forming a multi-ply fibrous structureand/or multi-ply sanitary tissue product. It is also contemplated thatan individual, integral fibrous structure can effectively form amulti-ply fibrous structure, for example, by being folded on itself.

“Rolled product(s)” as used herein include fibrous structures, paper,and sanitary tissue products that are in the form of a web and can bewound about a core. For example, rolled sanitary tissue products can beconvolutedly wound upon itself about a core or without a core to form asanitary tissue product roll perforated into the form of discretesheets, as is commonly known for toilet tissue and paper towels.

“Machine Direction,” MD, as used herein is the direction of manufacturefor a perforated web. The machine direction can be the direction inwhich a web is fed through a perforating apparatus that can comprise arotating cylinder and support, as discussed below in one form. Themachine direction can be the direction in which web travels as it passesthrough a blade and an anvil of a perforating apparatus.

“Cross Machine Direction,” CD as used herein is the directionsubstantially perpendicular to the machine direction. The cross machinedirection can be substantially perpendicular to the direction in which aweb is fed through a cylinder and lower support in one form. The crossmachine direction can be the direction substantially perpendicular tothe direction in which web travels as it passes through a blade and ananvil of a perforating apparatus.

“Roll Bulk” as used herein is the volume of paper divided by its mass onthe wound roll. Roll Bulk is calculated by multiplying pi (3.142) by thequantity obtained by calculating the difference of the roll diametersquared in cm squared (cm²) and the outer core diameter squared in cmsquared (cm²) divided by 4, divided by the quantity sheet length in cmmultiplied by the sheet count multiplied by the Bone Dry Basis Weight ofthe sheet in grams (g) per cm squared (cm²).

The following disclosure relates to the processes utilized tomanufacture the rolled sanitary tissue products of the presentdisclosure (e.g., rolled sanitary tissue products with a shaped line ofweakness that meet the needs of the consumer for reliable one handtearing and dispensability, while also being commercial-scale convertingprocess friendly).

The process and apparatus for perforating the web includes rotating acylinder about a longitudinal cylinder axis. The cylinder may include anouter circumferential surface that substantially surrounds thelongitudinal cylinder axis. The outer circumferential surface mayinclude a plurality of recessed portions. These recessed portions may bepositioned both longitudinally, also referred to herein as axially, andradially about the outer circumferential surface. The recessed portionsare configured to accept an anvil block or two or more anvil blocksegments. The anvil blocks may be removably connected with the recessedportions. The anvil blocks may be offset from one another in thelongitudinal/axial direction. Further, the anvil blocks may bepositioned radially about the outer circumferential surface and cavitiesare formed between adjacent, radially positioned anvil blocks. Thesecavities are formed by the anvil blocks extending radially above theouter circumferential surface of the cylinder. Each of the anvil blocksmay include an anvil bead. The anvil bead may be removably connected tothe anvil block or the anvil bead and the anvil block may bemanufactured together. The anvil beads together form a shape extendingalong the longitudinal cylinder axis. The anvil beads operatively engagethe blade. The blade may be supported by a support and a clamp. Theblade may include a single blade or a plurality of blades. The blade maybe stationary or the blade may oscillate in a direction substantiallyparallel to the cross direction to minimize wear. The web is fed betweenthe anvil bead and the blade to form perforations. The perforationsimparted to the web form a shaped, or non-linear, line of weakness.However, debris is generated from perforating the web and/or upstreamprocessing of the web. This debris is controlled due to the shape of thecylinder in combination with the anvil block and the anvil bead. Aspreviously discussed, the cavity is formed between adjacent anvilblocks, including anvil beads. Due to the air flow created by therotating cylinder and the geometry of the anvil block, anvil bead, andthe cavity, the debris is drawn into the cavity and away from the web.This substantially minimizes any adverse effect the debris may have onthe web and/or the perforating process. The debris is held in the cavityuntil the cavity is rotated to a position downstream of the nip, wherethe anvil bead engages the blade. Once the cavity is downstream of thenip, the debris may be expelled from the cavity and any other debris maybe pushed away from the outer circumferential surface of the cylinder.Due the aforementioned process, the strain on the web may be maintainedthroughout the perforating process.

Referring to FIG. 1 , a perforating apparatus 10 is shown for forming ashaped line of weakness 21 comprising one or more perforations 22 andone or more bond areas 23 therebetween on a web 14. The perforatingapparatus 10 comprises a cylinder 12 and a support 18. The cylinder 12may be suspended between one or more braces that serve to hold thecylinder in operative position and allow the cylinder to rotate. Thecylinder 12 has a longitudinal cylinder axis 24 about which the cylinder12 is rotatable. The cylinder 12 may have a substantially circularshaped cross-section or any other shaped cross-section that may rotateabout an axis and produce a web 14 with a line of weakness 21. Thecylinder 12 may be a solid or substantially hollow cylindrical shapeddevice. The cylinder 12 may comprise an outer circumferential surface 30positioned radially outward from and substantially surrounding thelongitudinal cylinder axis 24.

As illustrated in FIG. 1 , a plurality of anvil blocks 16 may bedisposed on the outer circumferential surface 30 of the cylinder 12. Theanvil blocks 16 may be offset from one another along the longitudinalcylinder axis 24. Further, there may be anvil blocks 16 disposedradially about the outer circumferential surface 30 of the cylinder 12.Adjacent anvil blocks positioned radially about the outercircumferential surface 30 define cavities 42 therebetween. Each of theanvil blocks 16 may include an anvil bead 17. The anvil bead 17protrudes radially away from a surface 38 of the anvil block 16. Theanvil bead 17 may be shaped, also referred to herein as non-linear.Further, the anvil beads 17 may be helically mounted along thelongitudinal cylinder axis 24.

Opposite the cylinder 12, the support 18 may comprise a blade 26. Theblade 26 may be disposed on the support 18. By disposed is meant theblade may be attached, removeably attached, clamped, bolted, orotherwise held by the support 18 in a stable operative position withrespect to the cylinder 12. The blade 26 may be a single blade orinclude a plurality of blade segments.

The cylinder 12 may be rotated about the longitudinal cylinder axis 24such that the anvil beads 17 engage the blade 26. The web 14 may includea longitudinal web axis 15, a first side edge 54, and a second side edge56 opposite the first side edge 54. The web 14 may be fed through theperforating apparatus such that the line of weakness imparted to the webextends from the first side edge 54 to the second side edge 56. The web14 is fed between the anvil beads 17 and the blade 26 such that thelongitudinal web axis 15 extends in a direction substantially parallelto the machine direction MD. The longitudinal web axis 15 is alsotangential to the outer circumferential surface 30 of the cylinder 12 asthe web 14 passes between the anvil bead 17 and the blade 26. The anvilbead 17 and the blade 26 cooperate in contacting relationship as the web14 traverses through, resulting a shaped line of weakness 21. The shapedline of weakness includes perforations 22 and bond areas 23. Generally,the shape of the line of weakness is the same as or similar to the shapeof the anvil bead 17.

As previously stated, the perforating apparatus 10 may include acylinder 12. The cylinder 12 may be configured to rotate about alongitudinal cylinder axis 24. The cylinder 12 may define a plurality ofrecessed portions 36, as illustrated in FIGS. 2A and 2B. The recessedportions 36 may be spaced along the longitudinal cylinder axis 24 andcircumferentially about the outer circumferential surface 30. Therecessed portions 36 may be configured to accept one or more anvilblocks 16. The recessed portions 36 may be any size and shape such thatthe anvil blocks 16 may be disposed within the recessed portion. Thecylinder 12 may have a cylinder length CL extending in the crossdirection CD. The cylinder length CL may be the same length as or longerthan the web 14 that is to undergo processing. The cylinder length CLmay be from about 50 inches to about 200 inches and/or from about 75inches to about 150 inches and/or from about 90 inches to 110 inches,including all 0.1 inch increments between the recited ranges. Thecylinder 12 may be made from metal, such as steel, aluminum, tungstencarbide, or another material that may be rotated at the desiredmanufacturing speeds.

It is to be appreciated that in some forms, the cylinder 12 may notinclude recessed portions and the anvil blocks may be attached to theouter circumferential surface 30 of the cylinder 12. It is also to beappreciated that a protruding portion may be machined or attached to theouter circumferential surface 30 of the cylinder onto which the anvilblock 16 and/or the anvil bead 17 may be removably connected.

As illustrated in FIGS. 3A-3C, the anvil blocks 16 may be removablyconnected to the cylinder 12. In some forms, the anvil blocks 16 may bemagnetically attached to the recessed portions 36 of the cylinder 12. Insome forms, the anvil blocks 16 may be chemically attached, such as byadhesive, or mechanically attached, such as by screwing, pinning,clamping, bolting, or otherwise joining the anvil block to the outercircumferential surface 30 of the cylinder 12. The individual anvilblocks allow for ease of replacement and individual adjustment. Forexample, worn and/or damaged anvil blocks may be individually replaced.Further, the removable anvil blocks allow for different anvil beadprofiles to be switch out easily and for each anvil block to beindividually adjusted for optimum processing.

The anvil blocks 16 may include a first anvil block surface 38 and asecond anvil block surface 39, which is opposite the first anvil blocksurface 38. The second anvil block surface 39 may be in contactingrelationship with the recessed portion and/or the outer circumferentialsurface 30 of the cylinder 12. The anvil block 16 may include a recessedanvil block height 41, which is the portion of the anvil blockpositioned below the outer circumferential surface 30. The recessedanvil block height 41 is measured from the outer circumferential surface30 to the second anvil block surface 39. The recessed anvil block heightmay be from about 0.05 inches to about 0.4 inches and/or from about 0.1inches to about 0.3 inches, including all 0.01 inch increments betweenthe recited ranges. The first anvil block surface 38 may protruderadially away from the outer circumferential surface 30 of the cylinder12 forming an anvil block height 40. The anvil block height 40 includesthe portion of the anvil block that extends above the outercircumferential surface 30 of the cylinder. The anvil block height ismeasured from the outer circumferential surface 30 to the first anvilblock surface 38. In some forms, the anvil block height 40 may be fromabout 0.1 inches to about 0.5 inches and/or from about 0.2 inches toabout 0.4 inches, including all 0.01 inch increments between the recitedranges. For example, an anvil block height 40 of 0.3 inches would beincluded in the aforementioned recited ranges. Each anvil block 16 mayhave an anvil block height 40 such that a cavity 42 is formed betweenadjacent, radially positioned anvil blocks 16, as indicated by arrow Cin FIG. 3B. More specifically, anvil blocks 16 disposed longitudinallyalong the longitudinal cylinder axis and positioned about the outercircumferential surface 30, form cavities 42 extending between the anvilblocks that are adjacent to one another radially about the outercircumferential surface and along the longitudinal cylinder axis. Thecavity 42 allows debris from the manufacturing process to be controlledduring the manufacturing process, which will be described in more detailherein. It is also to be appreciated that that the anvil block surface38 and the anvil block surface 39 may each have a radius of curvature,may be substantially planar, or any other shape that allows forperforation of the web as described herein.

The number of anvil blocks including anvil beads positioned radiallyabout the outer circumferential surface may be based on the distancethat is desired between adjacent lines of weakness on the web and/or thesize of the cylinder. Successive lines of weakness 21 imparted to theweb 14 may be spaced at a distance equal to about the distance betweenadjacent, radially positioned anvil beads. In some forms, the anvilblocks may be spaced such that the anvil blocks are equally spaced fromone another about the outer circumferential surface of the cylinder. Forexample, for a cylinder 12 including three anvil blocks positionedradially about the circumference of the cylinder, the three anvil blockswill be spaced at about one-third increments about the outercircumferential surface 30 of the cylinder 12.

It is also to be appreciated that a single anvil block may include oneor more anvil block segments. For example, several anvil block segmentsmay fit within a recessed portion 36 to form an anvil block. The anvilblock may be broken into one or more segments for machinability and/orease of replacement, for example.

Still referring to FIGS. 3A-3C, the anvil block 16 may include an anvilbead 17. The anvil bead 17 may protrude from the first anvil blocksurface 38 away from the longitudinal cylinder axis 24. The anvil beads17 present on each anvil block 16 may abut one another such that theanvil beads form a substantially continuous shape along the cylinder 12.Each individual anvil bead 17 may be shaped and the plurality of anvilbeads 17 may form any shape along the cylinder that is desired to beimparted to the web 14. It is to be appreciated that the shape of eachindividual anvil bead may be the same or different. For example, theanvil beads may form a sinusoidal shape or a saw-tooth shape. FIGS.8A-8Q illustrates various shapes the plurality of anvil beads may form,alone or in combination. The shape of the anvil beads is the same as, orsimilar to, the shape imparted to the web 14 as a line of weakness 21.In some forms, for example the anvil beads may form a sinusoidal shapealong the longitudinal cylinder axis such that the line of weaknessimparted to the web has a wavelength 34 of from about 0.75 inches toabout 2.5 inches and an amplitude 32 of from about 0.1 inches to about 1inch. For example, a line of weakness having a wavelength 34 of about1.38 inches and an amplitude 32 of about 0.236 inches may bemanufactured by the disclosed process and apparatus and is within theabove specified ranges.

It is to be appreciated that a shaped blade may be used in place of theanvil beads. It is also to be appreciated that to obtain a shaped lineof weakness, the shaped element, such as the anvil beads or blades,should be present on the rotating device, such as the rotating cylinder.The same result does not occur if the shape is on the stationary, ornon-rotating, device.

It is also to be appreciated that the anvil bead 17 and the anvil block16 may be machined from the same material such that the anvil bead 17 isattached to the anvil block 16. The anvil bead 17 may also be removablyconnected to the anvil block 16 such that the anvil bead 17 is separatefrom the anvil block 16 when not connected. This allows for the anvilbead to be changed independent of the anvil block 16. For example, theshape of the anvil bead may be changed without changing the anvil block.The anvil bead may be switch from a non-linear, shaped anvil bead to astraight, linear anvil bead. The anvil block may also not contain anyanvil bead. The cylinder may be operated without the anvil block havingthe anvil bead. This may be done to retain the surface profile of thecylinder but to have a particular anvil block not affect the traversingweb.

Each anvil bead 17 may have an anvil bead height 44 measured from thefirst anvil block surface 38 to an anvil bead tip 46. The anvil beadheight 44 may be from about 0.01 inches to about 0.40 inches, includingall 0.01 inches therebetween. The anvil bead height 44 in combinationwith the anvil block height 40 allow for control of the debris from themanufacturing process. For example, in some forms, the height from theouter circumferential surface 30 to the anvil bead tip 46 is from about0.02 inches to about 0.8 inches and/or from about 0.1 inches to about0.6 inches and/or from about 0.2 inches to about 0.45 inches, includingall 0.01 inch increments between the recited ranges. The combination ofthese heights generally results in the cavity 42. The design of thesurface of the cylinder 12 including the anvil block 16 and anvil bead17 causes the air to flow over the anvil bead and into the cavity 42.The debris from the web 14 perforation process and/or upstream processesis then caught in this air stream and flows into the cavity 42 and awayfrom the web 14.

More specifically, the difference in the diameters of the cylinder 12including the anvil blocks 16 and anvil beads 17 aids in controlling theair flow and thus the debris from the perforating process. Thedifference in diameter or radii of the cylinder 12, anvil block 16 andanvil beads 17 determines, in part, the characteristics, such as thedepth, of the cavity 42, which is used to control the debris generatedin the perforating process. As illustrated in FIG. 4 , the cylinder 12may include a cylinder diameter 48 measured from the outercircumferential surface 30. The anvil block 16 may include an anvilblock diameter 76 measured from the first anvil block surface 38 to theouter circumferential surface 30. Similarly, the anvil bead 17 mayinclude an anvil bead diameter 78 measured from the anvil bead tip 46 tothe outer circumferential surface 30. The difference of the cylinderdiameter and the anvil block diameter may be from about 0.3 inches toabout 1.2 inches. The difference of the cylinder diameter and the anvilbead diameter may be from about 0.4 inches to about 1.7 inches, and thedifference of the anvil block diameter and the anvil bead diameter maybe from about 0.2 inches to about 0.6 inches. Having the cylinder 12designed such that the difference in diameters of the cylinder, anvilblock, and anvil bead are as previously disclosed, the debris from theperforating process may be directed away from the web 14 and into thecavity 42. In some forms, the anvil bead diameter may be from about 8inches to about 20 inches and/or from about 11 inches to about 15inches; the anvil block diameter may be from about 7 inches to about 18inches and/or from about 10 inches to about 15 inches; and the cylinderdiameter may be from about 5 inches to about 16 inches and/or from about8 inches to about 10 inches. It is to be appreciated that all 0.01increments are included between the aforementioned recited ranges.

As previously stated, the ability to control the debris from theperforating process and/or upstream processes may also be obtained byhaving the appropriate comparison of radii of the cylinder 12, anvilblock 16, and anvil bead 17. For example, as illustrated in FIG. 4 , thecylinder 12 may include a cylinder radius 80 measured from thelongitudinal cylinder axis 24 to the outer circumferential surface 30.The anvil block 16 may include an anvil block radius 82 measured fromthe first anvil block surface 38 to the longitudinal cylinder axis 24.Similarly, the anvil bead 17 may include an anvil bead radius 84measured from the anvil bead tip 46 to the longitudinal cylinder axis24. The difference of the cylinder radius and the anvil block radius maybe from about 0.15 inches to about 0.6 inches. The difference of thecylinder radius and the anvil bead radius may be from about 0.2 inchesto about 0.85 inches, and the difference of the anvil block radius andthe anvil bead radius may be from about 0.1 inches to about 0.3 inches.It is again to be appreciated that all 0.01 increments are includedbetween the aforementioned recited ranges. Having the cylinder 12designed such that the difference in radii of the cylinder, anvil block,and anvil bead are as previously disclosed, the debris may be directedaway from the web 14 and into the cavity 42.

Prior cylinder and anvil designs have failed to address the need to runat relatively high manufacturing speeds and to control the debrisgenerated from the shaped perforation process and/or upstream processes.Prior designs are unable to obtain desired manufacturing run times dueto, for example, premature breaking of web. The web is prone to failurewhen the debris is allowed to flow back towards the web and ultimatelyget captured on the web and interfere with the perforating process. Thedesign described herein allows for sustained manufacturing run times andcontrol of the debris in the process such that the debris generallymoves away from the web and does not negatively impact the perforatingprocess or other downstream processes.

Due to the relatively high manufacturing speeds, the anvil beads may behelically angled along the longitudinal cylinder axis, as illustrated inFIG. 3A. Each anvil bead may have a helix angle α measured from thelongitudinal cylinder axis 24. The helix angle α may be from about 1degrees to about 10 degrees and/or from about 2 degrees to about 8degrees and/or from about 4 degrees to about 6 degrees, including all0.1 degree increments between the recited ranges. The helix angle of theanvil beads may be determined, in part, due to the number of anvilblocks positioned about the circumference of the outer circumferentialsurface of the cylinder. The helix angle aids in minimizing vibration inthe apparatus by maintaining contact points along the blade duringprocessing. The helix angle may be increased or decreased to maintain acertain number of contact points between the blade and the anvil bead.For example, the helix and shape of the anvil bead may provide for fromabout 4 to about 10 contact points between the anvil bead and the blade.For example, the blade 26 may engage the helically mounted anvil beadsuch that the perforations 22 are created by a consecutive series ofinteraction points across the web 14 in a zipper-like manner. Further,helically mounting the anvil 16 may allow the anvil 16 to be in constantengagement with the blade 26.

The helix angle of the anvil beads also allows for the web 14 to beprocessed at relatively high manufacturing speeds, such as where the webtraverses at a speed of from about 300 m/min to about 900 m/min and/orfrom about 500 m/min to about 750 m/min, including all 0.1 m/minincrements between the recited ranges. As the web 14 is impacted by thehelically angled anvil bead, the anvil bead imparts a shaped line ofweakness that is substantially parallel to the cross direction CD. It isto be appreciated that the speed of the web and/or the anvil bead may beadjusted to change the direction and other properties of the lines ofweakness. The speed of the anvil bead may be set with respect to thespeed of the traversing web. The anvil bead may rotate at an overspeedof up to about 50% of the speed of the traversing web. The anvil beadmay also be rotated at an underspeed with respect to the traversing webor at a substantially matched speed to the traversing web.

Further, the anvil bead 17 may be made from the same material as theanvil block 16 and/or the cylinder 12, or a different material. Theanvil bead 17 may be made from a material that provides sufficientrigidity and life, strength and wear resistance, such that the anvilbead does not deflect or deflects minimally when engaging the blade andcan sustain relatively prolonged manufacturing run time. The anvil bead17 may be made from metal such as steel, aluminum, or tungsten carbide.The anvil bead 17 may also be made from non-metal such as ceramic,carbon fiber, or hard plastic. It is also to be appreciated that theanvil bead 17 may be made from two different materials. For example, theanvil bead body made be made from a first material and the anvil beadtip may be coated with a second material that is different than thefirst material. The second material may be applied by known methods suchas laser cladding. As previously discussed, the anvil bead 17operatively engages the blade 26. Thus, the anvil bead 17 should be madeof a material that withstands continuous contact and wearsadvantageously for the perforating process. For example, the wearprofile of the anvil bead may impact the quality of the perforation and,thus, the line of weakness imparted to the web 14. A material should beselected that allows for slow wear and a wear profile that does notnegatively impact the line of weakness.

The anvil bead 17 may have an anvil bead cross sectional shape. Theshape of the anvil bead may be such that the anvil bead is able tointeract with the blade 26 to create lines of weakness. For example, theanvil bead may have a cross section shape that is substantiallytriangular shape or trapezoidal shape. The anvil bead may have a crosssectional angle β of from about 50 degrees to about 120 degrees and/orfrom about 70 degrees to about 100 degrees and/or from about 80 degreesto about 90 degrees, including all 0.1 degrees between each of therecited ranges. It is to be appreciated that the shape of the anvil beadmay change as the anvil bead wears due to contact with the blade 26.

Referring to FIGS. 5A and 5B, the support 18 may be positioned adjacentthe cylinder 12. The support 18 may be formed from metal, such as steelor a steel alloy, or from some other material as would be known to thoseskilled in the art to be suitable as a structural support of perforatingequipment. The support 18 may be in a block shape, a cylindrical shape,or another shape that would adequately support a blade 26. The support18 may be placed in a fixed, non-moveable, non-rotatable position duringcontacting relationship with the anvil bead 17, independent of the shapeof the support 18. In one example form, the support 18 may be acylindrical shape or a substantially square shape such that when one ormore blades 26 disposed on the outer surface wear or break, the support18 may be rotated and fixed in a position so that a new blade 26 may beplaced in contacting relationship with the anvil 16. Alternatively, thesupport 18 may be rotated and/or adjusted in and out of contactingrelationship with the anvil 16 to easily and readily replace worn ordamaged blades 26. A support 18 include more than one blade may alsoallow for various types of blades, such as blades having teeth withdifferent spacing, to be quickly and easily placed into and out ofoperation.

The support 18 may include one or more blades 26 configured to operatein contacting engagement with the anvil bead 17. In some forms, theblade 26 interacts with the anvil bead in a shearing action. A portionof the blade 26 may be supported by the support 18 and another portionof the blade may be supported by a clamp 31. The clamp 31 and thesupport 18 act to hold the blade 26 in position, such that a portion ofthe blade 26 extends outward from the support 18 and is exposed forcontact with the anvil bead. The blade may be held between the clamp 31and the support such that the blade 26 may deflect during operativeengagement with the anvil bead 17. This may be referred to as aflex-rigid configuration. This deflection and the inherent flexibilityof the blade 26 allows for improved perforation reliability by beingmore forgiving to slight differences in machine tolerances. The support18 may include a recessed portion, such that a portion of the support 18is positioned under the blade 26 or opposite the first blade surface 58but does not contact the blade 26 when the blade is inoperable. Theportion of the support 18 disposed under the blade 26 but not contactingthe blade 26, may be used to ensure that the blade does not deflect toomuch and/or to aid avoiding breaking the blade. The clamp 31 may beremovably connected to the blade 26 and/or the support 18. This allowsfor timely replacement of worn and/or damaged blades. The blade 26 alsoextends in a direction substantially parallel to the longitudinalcylinder axis 24 or the cross direction CD. The blade 26 may have atotal blade length BL that generally is as long as or longer than thewidth of the web such that the line of weakness extends from the firstedge to the second edge of the web. The blade 26 may be a single bladeor may include a plurality of blade segments.

The blade may be made from metal such as steel, tungsten, or any otherhardened material that may withstand continued engagement with theanvil. The blade 26 may include a number of teeth extending along thetotal blade length. The spacing and number of teeth may be determinedbased on the desired number of perforations 22 and characteristics ofthe line of weakness in the web 14, such as disclosed in U.S. Pat.Publication Nos. 2014/0366695; 2014/0366702; and 2014/0370224. The toothmay be equally spaced along the total blade length or the teeth may bespaced at various increments along the total blade length.

Referring now to FIG. 5C, as can be understood by considering thepresent disclosure, a blade 26 and/or an anvil bead 17 can comprise oneor more teeth 136 and one or more recessed portions 138 for making aline of weakness 21 comprising one or more perforations 22 and bondareas 23 in the web 14 (as shown in FIG. 8 ). In one form, the blade 26disposed on the support 18 comprises one or more teeth 136 and one ormore recessed portions 138, and the cylinder 12 comprises an anvil bead17 in a wave-form shape. Due to the wave-form shape of the anvil bead17, the rotation of the anvil bead 17 toward the blade 26, and thelength of the one or more teeth 136 and the one or more recessedportions 138, a certain perforation length PL, as shown in FIGS. 5C and5E, can be imparted to the web 14. For example, in one form, the lengthof the one or more teeth 136 and the one or more recessed portions 138are uniform in length. The uniform length of the one or more teeth 136and the one or more recessed portions 138 can result in non-uniformperforation lengths PL due to the curvilinear shape of the anvil bead17. By “uniform” is meant that the lengths are substantially equal orwithin about 15% or less of each other. By “non-uniform” is meant thattwo or more lengths are not equal or are greater than about 15% of oneanother.

Therefore, in one form, a perforating apparatus 10 can be designed tomake a line of weakness 21 comprising one or more perforations 22 havinga substantially uniform perforation length PL. Alternatively, or inaddition to uniform perforation lengths PL, the space between eachperforation 22, i.e., the bond area 23, can have a non-perforationlength NP, where the NP can be substantially uniform. As previouslydisclosed with respect to FIG. 1 , the perforating apparatus 10 cancomprise a cylinder 12 that rotates about a longitudinal cylinder axis24 and a fixed support 18 between which a web 14 is advanced in themachine direction MD. More specifically in some forms, a wave-formshaped anvil bead 17 disposed on the cylinder 12 rotates and engages incontacting relationship with a straight, notched blade 26 disposed onthe fixed support 18.

Again, the shaped form of the anvil bead 17 can be primarily dependenton the desired shape of the line of weakness 21 in the finished web 14.The blade is schematically depicted as a straight piece comprising oneor more teeth 136 and one or more recessed portions 138 with variablelengths. The blade 26 and anvil bead 17 cooperate in contactingrelationship to perforate the web. Still referring to FIG. 5C, eachtooth 136 has a length TL and can be separated by a recessed portion 138that also has a length RL. The hash marks 142 on the anvil bead 17indicate the end positions of each tooth 136 based on the tooth lengthTL. Further, dashed lines 144 connect the hash mark 142 corresponding toeach tooth 136 and, more specifically, the end positions of each tooth136. If a uniform perforation length PL is desired, the tooth length TLand corresponding recessed length RL must account for the shape of theanvil bead 17. As shown in FIG. 5C, the hash marks 142 placed along theanvil bead 17 can be such that a uniform line of weakness is imparted tothe web 14. However, as shown by following the dashed lines 144 from theblade 26 to the anvil bead 17, to achieve uniform perforation lengths PLand/or non-perforated lengths NP, the lengths of the teeth 136 (orrecessed portions 138) must vary along the length of the blade 26. Forexample, tooth length TL₁ is longer than TL₂, as shown in FIG. 5C, yeteach produce a perforation having substantially the same perforationlength LP along the shaped anvil bead 17. Similarly, RL₁ is longer thanRL₂, but such spacing or non-perforation portion produce substantiallyuniform non-perforated lengths NP (i.e., the length of the bond areas23) along the shaped anvil bead 17.

Each tooth length TL can be individually predetermined such that itsprojected contacting relationship onto the anvil bead 17 delimits alength of the anvil bead 17 substantially equal to a desired perforationlength PL in the web 14. Each recessed portion length RL is individuallypredetermined such that its projected relationship with respect to theanvil bead 17 delimits a length of the anvil bead 17 substantially equalto a desired bond area having non-perforated length NP in the web 14.For example, each tooth length TL and recessed portion length RL can bedesigned such that the lines of weakness 21 in the web 14 comprisesperforations 22 that are longer at the edge of the web 14 compared tothe perforations toward the middle of the web 14, or bond areas 23 thatare shorter near the edge compared to the bond areas toward the middleof the web 14.

Referring now to FIGS. 5D and 5E, the tooth length TL and recessedportion length RL for an individual tooth 136 and recessed portion 138on the blade 26 can be calculated. In one example form, the tooth lengthTL or the recessed portion length RL can be determined by firstmeasuring or predetermining a desired perforation length PL ornon-perforation length NP, as shown between adjacent hash marks 142.Next, connect adjacent harsh marks 142 with a straight line 146 andintersect the straight line 146 with a line 148 substantially parallelto the outside edge of the blade 26 forming an angle ε. The straightline 146 should intersect the substantially parallel line 148 at a hashmark 142 so that the angle ε is less than about 90 degrees. Assumingthat the tooth 136 and/or recessed portion 138 has a surface that issubstantially parallel to the outer surface 30 of the cylinder 12, thetrigonometry of a right triangle can be used to calculate the toothlength TL and the recessed length RL. More specifically, still referringto FIG. 20 , the tooth length TL or recessed portion length RL can becalculated as the desired perforation length PL or non-perforationlength NP times the cosine of the angle ε. Similarly, if a certain toothlength TL or recessed portion length RL is known, the perforation lengthPL or non-perforation length NP can be calculated using the geometry ofa right triangle. Thus, the notch length NL and recessed portion lengthRL can be determined for any adjacent harsh marks 142. Additionally, oneof ordinary skill in the art would understand that if the blade 26 wasnot parallel to the outer surface 30 of the cylinder 12, the resultingtriangle would not have a right angle and more advanced trigonometry(e.g., the law of sines, law of cosines, and law of tangents) could beused to determine the angles and lengths.

The blade 26 may be configured to oscillate in the cross direction CDand/or substantially parallel to the longitudinal cylinder axis 24during the perforation process. The blade 26 oscillates by moving afirst direction, substantially parallel to the cross direction, by apredetermined amount and, subsequently, moving in a second direction,opposite the first direction by another predetermined amount. The blade26 may oscillate by the same distance in both the first direction andthe second direction, or the blade may oscillate by a different distancein the first direction and the second direction. The predeterminedamount the blade may oscillate may depend, in part, on the shape of theline of weakness that is to be imparted to the web and/or the shape ofthe anvil bead. For example, the shape of the anvil beads may include apattern that repeats a number of times along the central longitudinalaxis. Each of these repeat patterns may include a pattern distance. Thepattern distance is the distance from the end of a preceding pattern orthe beginning of a new pattern to the beginning of the subsequentpattern or the end of the pattern. The oscillation of the blade maydepend on this pattern distance. The blade may oscillate a predetermineddistance of from about 1% to about 100% of the pattern distance. Forexample, for a sinusoidal wave pattern having a pattern distance orwavelength of 1.23 inches, the blade may oscillate from about 0.1 inchesto about 0.23 inches in the cross direction CD. The oscillation of theblade 26 aids in reducing wear on the blade during processing and allowsfor the blade to wear more uniformly than if the blade was keptstationary. Examples of an oscillating blade are disclosed in U.S. Pat.Publication Nos. 2016/0271820; 2016/0271823; and 2016/0271824.

As illustrated in FIGS. 6A and 6B, the web 14 traverses between theblade 26 and the anvil bead 17. As previously discussed, the anvil bead17 and the blade 26 operate in contacting relationship to perforate thetraversing web 14. The point at which the anvil bead 17 contacts theblade 26 is the nip 49. More specifically, the cylinder 12 rotates aboutthe longitudinal cylinder axis 24 resulting in the anvil block 16 andthe anvil bead 17 also rotating about the longitudinal cylinder axis 24.The blade 26 is positioned such that a tip of blade, the blade tip 50,overlaps the anvil bead tip 46 by an overlap distance 51, as illustratedin FIG. 6B. The overlap distance 51 is measured from the blade tip 50 tothe anvil bead tip 46 in a direction substantially parallel to the crossdirection. The overlap distance 51 may be from about 0.002 inches toabout 0.3 inches. If the overlap distance becomes too small and theblade 26 fails to operatively engage the anvil bead 17, the web 14 isnot adequately perforated and the resulting characteristics of the lineof weakness are likely to be unacceptable from both a manufacturingstandpoint and from a consumer acceptance/use standpoint. By decreasingthe overlap distance between the blade 26 and the anvil bead 17, theperforations 22 generally become less pronounced, less visible, shorter,and the bond areas 23 generally become wider and thus stronger. If theoverlap distance becomes too large such that the blade 26 and the anvilbead 17 have a significant overlap, the web 14 may be unable to traversethrough the nip and the web 14 may be separated such that the line ofweakness fails during processing and the web splits along the line ofweakness or adjacent to the line of weakness. By increasing the overlapbetween the blade 26 and the anvil bead 17, the perforations 22generally become more pronounced, more visible, and longer. Maintainingthe overlap distance as previously specified and avoiding too much ortoo little overlap, allows the web 14 to be perforated and a line ofweakness to be formed such that the line of weakness is preserved duringprocessing and yet provides ease of use to consumers. The overlapdistance may be adjusted, for example, by moving one of the bade 26, thecylinder 12, and/or the support 18.

As illustrated in FIG. 1 , the web 14 includes a longitudinal web axis52, a first side edge 54, and a second side edge 56 opposite the firstside edge 54. The web 14 traverses between the blade 26 and the anvilbead 17 such that the longitudinal web axis 52 is substantially parallelto the machine direction or, stated another way, the longitudinal webaxis 52 is substantially tangential to the outer circumferential surface30 of the cylinder 12, as illustrated in FIG. 6A. Further, in someforms, the blade 26 may be positioned with respect to the traversing web14. More specifically, the blade 26 incudes a blade tip 50 and a firstblade surface 58. The first blade surface 58 may be exposed such thatthe anvil bead operatively engages a portion of the first blade surface58 and the blade tip 50. The blade 26 is positioned such that the bladetip 50 and blade surface 58 is at a blade angle δ. The blade angle δ ismeasured from the blade to the surface of the traversing web 14 or aplane that is parallel to the machine direction MD. The blade angle δ isfrom about 20 degrees to about 60 degrees and/or from about 30 degreesto about 55 degrees and/or from about 45 degrees to about 50 degrees,including all 0.1 degree increments between the recited ranges.

As illustrated in FIGS. 6A and 6B, due to the position of the blade 26and the profile of the cylinder including the anvil block and anvilbead, the traversing web 14 has a relatively larger gap 60 than previousdesigns through which the web traverses. Further, the anvil bead height44 also provides added clearance in the gap 60. This gap 60 allows forimperfections in the web 14 to traverse between the anvil bead and theblade without causing failure in the web 14, such as a tear. Forexample, the web 14 may comprise a large deposit of pulp in a particulararea. This build-up of pulp causes the web 14 to be thicker in thisarea. The increased thickness may be unnoticeable to a consumer and maynot adversely affect the finished product. However, the increasedthickness may result in manufacturing issues. These issues arerelatively avoided for the perforating process due to the relativelylarger gap 60 between the blade 26 and the anvil bead 17.

It is also to be appreciated that the gap 60 allows for strain on theweb to be maintained during the manufacturing process. The traversingweb 14 may be strained in the machine direction at a strain of from 0%to about 15% and/or from about 0.5% to about 10% and/or from about 3% toabout 8%, including all 0.1% increments between the recited ranges. Thisstrain needs to be maintained on the web 14 for downstream processingsuch as winding the web into a roll or separating the web along lines ofweakness. The gap 60 present in the perforating apparatus allows for thestrain on the web to be maintained during the perforating process. Pastprocesses required the strain in the web to be reduced prior totraversing through the perforating operating because a portion of theweb needed to be disposed on the cylinder during the perforating processfor the process to create a line of weakness in the web. By contrast,the gap 60 and, thus, the position of the anvil bead 17 with respect tothe blade 26 allows for sufficient clearance between the anvil bead 17and the blade 26 such that the web may be perforated without additionalstrain being placed on the web such that the web breaks or tears.

The perforating apparatus previously described is configured to impart ashaped line of weakness onto a traversing web 14. The shaped line ofweakness on the web 14 is due in part to the design of the anvil bead,the helix angle, and the speed of the web 14 with respect to the speedof the anvil bead 17. The web 14 may traverse at a web speed, aspreviously described. The anvil bead 14 may be rotated at a speedgreater than, less than, or equal to the speed of the traversing web 14.The speed at which the web 14 and the anvil bead 14 traverse may changethe characteristics of the line of weakness on the web 14. For example,the shape of the line of weakness may differ from the shape formed bythe anvil beads. For a line of weakness having a sinusoidal shape, thewavelength and/or amplitude of the shaped line of weakness may bedifferent than the wavelength and/or amplitude of the shape formed bythe anvil beads. Further, the distance between adjacent lines ofweakness on the web 14 may be changed based on the speed of the anvilbeads and the traversing web. For example, the speed of the anvil beadmay be greater than the speed of the web, oversped, to produce adjacentlines of weakness having a distance between adjacent lines of weaknessthat is reduced, as compared to having the anvil bead and the webtraversing at the same speed. Similarly, the speed of the anvil bead maybe less than the speed of the web, undersped, to produce adjacent linesof weakness having a distance between adjacent lines of weakness that isincreased, as compared to having the anvil bead and the web traversingat the same speed.

Referring to FIG. 7 , as the anvil bead 17 interacts with the blade 26to perforate the web 14, debris is generated from the perforatingprocess and/or upstream processes. This debris may interfere with theperforating process and result in failure of the web 14 by tearing,incomplete perforations, and/or a line of weakness that is not consumeracceptable. As previously discussed, the cylinder 12, anvil block 16,and anvil bead 17 create a profile that controls the flow of the debris.As the cylinder 12 rotates about the longitudinal cylinder axis 24 airflows over the outer circumferential surface 30. The air flow isgenerally in the direction of rotation of the cylinder 12, asillustrated by the arrows in FIG. 7 . This air flow is interrupted bythe engagement of the anvil bead 17 with the blade 26 at the nip 49.This interruption causes the air flow to become turbulent and to carrythe debris in an unpredictable pattern that may result in debrisinterfering with the perforating process and damaging the web 14. Thedesign of the cylinder 12 including the anvil block 16 and the anvilbead 17 controls the air flow by creating a low pressure zone 86 in thewake of the anvil bead 17. This low pressure zone defines a boundarylayer 64. The boundary layer 64 extends between radially positioned,adjacent anvil bead tips 46. The low pressure zone 86 encourages thedebris into the boundary layer 64. The boundary layer 64 is maintainedas the cylinder traverses about the longitudinal cylinder axis and thedebris is transferred into the cavity 42, as previously discussed. Morespecifically, the cylinder 12 may include a pre-perforation zone 62which is the area of the cylinder prior to the web being perforated. Thecavity 42 of the cylinder 12 in the per-perforating zone allows for moreair to be controlled prior to perforating. The cavity 42 allows for arelatively greater quality of air to be encouraged to stay adjacent tothe outer circumferential surface 30 of the cylinder 12, within theboundary layer 88. The debris is controlled such that the debris flowsinto the cavity and/or adjacent the outer circumferential surface andthus, the debris that interferes with the web and/or the perforationprocess is minimized. The debris is controlled such that the web and theline of weakness are not adversely impacted. Thus, in theper-perforation zone, the debris is generally channeled toward the outercircumferential surface 30 and into the cavity 42 and away from the web14.

The boundary layer 64 of air flow may be present between adjacent anvilbeads spaced radially about the outer circumferential surface. Thisboundary layer 64 of air flow may be present over the cavity defined bythe cylinder, anvil blocks, and anvil beads. For example, a boundarylayer 64 is formed between a first anvil bead 68 and a radially adjacentsecond anvil bead 72. The boundary layer encompasses the cavity 42between the first anvil block 66 and the second anvil block 70. A web 14traverses through the nip and the first anvil block 66 and the secondanvil block 70 traverse in the per-perforation zone 62. The boundarylayer 64 is formed as the first anvil bead 68 and the second anvil bead72 traverse about the longitudinal cylinder axis. Debris is formed byperforating the web 14. The debris is encouraged to travel away from theweb and into the boundary layer 64 via the low pressure zone created onthe wake of the anvil bead. The debris is then contained within theboundary layer 64 and the cavity 42. The debris is held in this areabetween the first and second anvil beads and the cavity, until theboundary layer 64 is broken. The boundary layer begins to be broken whenthe first anvil bead 68 engages the blade 26 at the nip 49. The boundarylayer generally gets broken by the disruption in air flow caused by theoperative engagement of the anvil bead and the blade. The boundary layerremains effective in the pre-perforation zone until the second anvilbead 72 contacts the blade 26. The first anvil block and bead traverseinto the post-perforation zone 74 and the second anvil block 70 andsecond anvil bead 72 continue to traverse and the second anvil bead 72operatively engage the blade 26. At this point, the boundary layer isfully broken. Due to the broken boundary layer and centrifugal force,the debris is expelled from the area between the first anvil bead andthe second anvil bead and the cavity and falls away from the outercircumferential surface 30 of the cylinder 12. The debris is expelled inthe post-perforation zone 74. Thus, the design of the cylinder, anvilblocks, and anvil beads allows for sustained continuous manufacturingtime and to produce a final product having its intended properties due,in part, to the control of debris.

After exiting the perforation apparatus, the web 14 may traverse toother downstream processes, such as winding, cutting, and sealing.

The process for perforating the web includes rotating the cylinder 12about the longitudinal cylinder axis 24. The cylinder 12 includes anouter circumferential surface 30 that substantially surrounds thelongitudinal cylinder axis 24. The outer circumferential surface 30includes a plurality of recessed portions 36. These recessed portions 36may be positioned both longitudinally and radially about the outercircumferential surface 30. The recessed portions 36 are configured toaccept an anvil block 16 or two or more anvil block segments. The anvilblocks 16 may be removably connected with the recessed portions 36. Theanvil blocks 16 may be offset from one another in the longitudinaldirection. Further, the anvil blocks may be positioned radially aboutthe outer circumferential surface 30 and cavities are formed betweenadjacent anvil blocks. These cavities 42 are formed by the anvil blocks16 extending radially above the outer circumferential surface 30 of thecylinder 12. Each of the anvil blocks 16 may include an anvil bead 17.The anvil bead 16 may be removably connected to the anvil block 16 orthe anvil bead 16 and the anvil block 17 may be manufactured together.The anvil beads 16 together form a shape extending along thelongitudinal cylinder axis 24. The anvil beads operatively engage theblade 26. The blade 26 may be supported by a support 18. The blade mayinclude a single blade or a plurality of blades. The blade 26 may bestationary or the blade 26 may oscillate in a direction substantiallyparallel to the cross direction. The web 14 is fed between the anvilbead 17 and the blade 26 to form perforations. The perforations impartedto the web 14 form a shaped line of weakness. However, debris isgenerated from perforating the web and/or upstream processes. Thisdebris is controlled due to the shape of the cylinder in combinationwith the anvil block and the anvil bead. As previously discussed, acavity is formed between adjacent anvil blocks, including anvil beads.Due to the air flow created by the cavity, the debris is drawn into thecavity and away from the web. This substantially minimizes any adverseeffect the debris may have on the web and/or the perforating process.The debris is held in the cavity until the cavity is rotated to aposition downstream of the nip, where the anvil bead engages the blade.Once the cavity is downstream of the nip, the debris may be expelledfrom the cavity and any other debris may be pushed away from the outercircumferential surface 30 of the cylinder 12. Due the aforementionedprocess, the strain on the web is maintained. The machine directionstrain may be from about 0.5% to about 10%. Further, the web maytraverse through the nip at a web speed from about 300 m/min to about900 m/min and/or from about 500 m/min to about 700 m/min, including all0.1 increments between the recited ranges. The anvil bead rotates at ananvil bead speed greater than, less than, or equal to the web speed.

Is it also to be appreciated that the above description applies toeither of the recited configurations. In some forms, the cylinder 12 maycomprise a shaped blade 26 and the support 18 may comprise a straight,linear anvil bead 17, not shown. Likewise, in some forms, the cylinder12 may comprise a shaped blade 26 and the support 18 may comprise astraight, linear blade.

It is to be further appreciated that the apparatuses and methodsdetailed herein may be configured in various ways to include variousfeatures associated with perforating substrates. For example, theapparatuses and methods herein may be adapted to allow for selectivelyadjusting and maintaining positions of cutting surfaces used to createlines of weakness for rolled products, such as disclosed in, forexample, U.S. Pat. Application Serial No. 62/729,441 entitled “METHODAND APPARATUS FOR ADJUSTING AND MAINTAINING A POSITION OF A CUTTINGSURFACE OF A PERFORATING APPARATUS”, filed on Sep. 11, 2018.

A non-limiting example form of a web 14 with the shaped line of weaknessproduced by the processes of the present disclosure is depicted in FIG.8 . The web 14 can comprise one or more shaped (e.g., curvilinear) linesof weakness 21. The line of weakness 21 can be substantially the same,or similar to, the curvilinear shape as that of the anvil 16, as wasdiscussed in more detail above. The shaped line of weakness 21 cancomprise a plurality of perforations 22 and bond areas 23 betweenadjacent perforations 22. Each of the plurality of perforations 22 has aperforation length PL that can be substantially the same or differentwith respect to each other perforation length PL across the shaped lineof weakness 21. Similarly, between each adjacent perforation 22 can be abond area 23 having a non-perforation length NP that can besubstantially the same or different relative to other and/or adjacentbond areas. The term “substantially” can refer to the degree ofsimilarity between two comparable units, and, more specifically, refersto those comparable units that are within about 15% of one another.Further, the plurality of perforations 22 can protrude through one ormore plies of the web 14.

As previously stated, each of the plurality of perforations has aperforation length and each of the bond areas has a non-perforationlength (i.e., length of the bond area 23). In one example form, at leasttwo of the perforation lengths are substantially equal. In anotherexample form, at least two of the non-perforation lengths aresubstantially equal. In another example form, at least two of theperforation lengths are substantially unequal. In another example form,at least two of the non-perforation lengths are substantially unequal.In yet another example form, at least two of the non-perforation lengthsare substantially equal and at least two of the perforation lengths aresubstantially equal. In yet another example form, at least two of thenon-perforation lengths are substantially unequal and at least two ofthe perforation lengths are substantially unequal. In still anotherexample form, the shaped line of weakness 21 can comprise at least onewavelength 34. In still another example form, the shaped line ofweakness 21 can comprise at least one wavelength 34, and the one or moreperforations 22 and bond areas 23 can be imparted to the web 14 suchthat the perforation lengths PL near the edge of the web 14 are longerthan the perforation lengths PL near the middle of the web 14 and/or thenon-perforation lengths NP are shorter near the edge of the web 14 andlonger near the middle of the web 14. Similarly, the perforations 22 andbond area 23 can be imparted to the web 14 such that the perforationlengths PL are substantially the same at the crest and trough of thewavelength 34 and different between the crest and the trough of thewavelength 34. Further, the perforations 22 and bond areas 23 can beimparted to the web 14 such that the non-perforation lengths NP aresubstantially the same length at the crest and trough of the wavelength34 and a different length between the crest and the trough of thewavelength 34.

As mentioned in the Background above, previous attempts to runcommercial-scale production of a web of rolled sanitary tissue products14 that include a shaped line of weakness 21 have been unsuccessful.Early test-stand development work showed promise, but the scale-up tohigh speed, commercial-scale converting lines was met with failure.Previous approaches failed because they did not consider the impacts ofthe high speeds of the commercial-scale converting equipment, the dusthygiene implications on such equipment, the tight tolerances betweensuch equipment (e.g., spacing between roll body surfaces of theconverting equipment), the web sheet aerodynamics, the large web sheetwidths, and the extremes of CD property variation of the sanitary tissuewebs being converted, as well as other factors. Accordingly, previouscommercial-scale production attempts were plagued by short run times ofjust a few minutes due to web breaks, an inability to reach or maintaintarget production rates, an inability to reach target web tensionswithout web breaks, and an inability to wind rolls to targetcompressibility or firmness (e.g., the sanitary tissue rolls were mushyand would not be acceptable to consumers, nor run well on downstreamhigh speed converting and packaging equipment). Net, from acommercial-scale converting line perspective, previous attempts toimpart a shaped line of weakness feature 21 on sanitary tissue productswere dramatically unsuccessful based upon their inability to meetprocess reliability and product quality requirements.

The inventors have unexpectedly found, while not wishing to be bound bytheory, that process reliability on high speed commercial-scaleconverting lines and sanitary tissue web property targets and rollproperty targets (e.g., parameters to indicate one hand tearingdispensability, roll firmness, roll compressibility, etc.) may besimultaneously achieved by appropriately balancing the shaped line ofweakness 21 design and/or the design of the process of creating theshaped line of weakness and/or the design of the equipment employed toproduce the shaped line of weakness. This balance may be represented bya Line of Weakness Performance Factor (“LWP Factor”). The LWP Factor isdefined as the ratio of the Full Sheet Tensile Strength divided by theFull Sheet Average Trapezoidal Tear Strength. The Line of WeaknessPerformance Factor is shown in the illustration below:

$\text{LWP Factor =}\frac{\text{Full Sheet Tensile Strength}\left( {\text{g}/\text{in}} \right)}{\text{Full Sheet Average Trapezoidal Tear Strength}\left( \text{g} \right)}$

The numerator of the LWP Factor may reflect the requirements for runninga reliable and properly web tensioned high-speed converting process asit may represent the tendency for the substrate to experience a sheetbreak during the converting process. The denominator may be indicativeof the shaped line of weakness resistance to tear properties meeting theneeds of a consumer for reliable, one hand tearing dispensability. Theinventors have unexpectedly discovered delivering inventive levels ofthe LWP factor yields a reliable and properly web tensioned high-speedconverting process, substrate, and roll of substrate, that delightsconsumers with its reliable, one hand tearing dispensability and rollfirmness. Inventive levels of the LWP Factor may be achieved throughappropriately balancing the shaped line of weakness 21 design and/or thedesign of the process of creating the shaped line of weakness and/or thedesign of the equipment employed to produce the shaped line of weakness,and combinations thereof, as described herein.

In addition, after a shaped line of weakness 21 has been torn by aconsumer, there is a series of micro-failures or micro-tears on theseparated shaped line of weakness of a sheet. These micro-failures ormicro-tears are where the bond areas 23 of the original shaped perf linefailed upon dispensing or tearing of a sheet from a roll. The areaswhere the micro-failures or micro-tears occur, (“failure zones”)generally may comprise free fiber ends or loosened fibers extendingbeyond a smooth curvilinear line running through or fitted to theoriginal shaped line of weakness across the tissue sheet. A measure ofthe extent of free fiber ends per sheet and/or the free fiber ends perunit length of shaped perf on the original sheet may be viewed byconsumers as enhancing the perceived or visual softness of the tissuewith the shaped line of weakness 21, the roll of tissue with the shapedline of weakness, and/or the shaped line of weakness failure lineitself. Hence, the highest performance tissue product in the perceivedviews of a consumer may have enhanced levels of free fiber ends persheet and/or the free fiber ends per unit length of shaped line ofweakness. Inventive levels of free fiber ends per sheet and the freefiber ends per unit length of shaped line of weakness may be achievedthrough the shaped line of weakness design and/or the design of theprocess of creating the shaped line of weakness and/or the design of theequipment employed to produce the shaped line of weakness, andcombinations thereof, as described herein.

Further, a shaped line of weakness 21 on a sanitary tissue paperproduct, for example, allows consumers to more easily grasp and dispensethe exposed sheet of the product due to the shaped line of weakness 21creating a series of tabs or a visually identifiable edge. Stillfurther, the shaped line of weakness 21 can allow consumers to readilydistinguish a product from other manufacturer’s products by having avisually distinctive perforation, such as one that complements an embossor print pattern. FIGS. 8 A-Q illustrate various exemplary shapes of thecurvilinear line of weakness 21 that can be imparted to the web. One ofordinary skill in the art based on the aforementioned disclosure wouldunderstand that the shape of the line of weakness 21 is due in part tothe shape of the shaped anvil bead 17 or shaped blade 26 disposed on therotating cylinder 12. Thus, the shapes shown in FIGS. 8 A-Q could alsobe the profiles of the shaped anvil bead 17 or shaped blade 17 disposedon the rotating cylinder 12 and used to generate webs with shaped linesof weakness as described herein. Generally, the profiles depicted inFIGS. 8 A-Q can be described as exhibiting a sinusoidal shape, as beinga group of two or more linear elements each connecting at a singleinflection point with an adjacent linear element, or a combination ofcurvilinear and linear elements.

The below parameter values and ranges below were measured and/orestimated with regard to sanitary tissue products, and rolls of sanitarytissue products, that were produced using the processes detailed herein.Unless identified as a sheet or roll of sanitary tissue product with atraditional straight, linear line of weakness parallel to the CDdirection of the substrate, the sanitary tissue products that aremeasured and/or estimated below include a shaped line of weakness asdisclosed herein.

The sanitary tissue products of the present disclosure may have a basisweight of from about 15 g/m² (9.2 lbs/3000 ft²) to about 120 g/m²(73.8lbs/3000 ft²) and/or from about 15 g/m² (9.2 lbs/3000 ft²) to about 110g/m² (67.7 lbs/3000 ft²) and/or from about 20 g/m² (12.3 lbs/3000 ft²)to about 100 g/m² (61.5 lbs/3000 ft²) and/or from about 30 (18.5lbs/3000 ft²) to 90 g/m² (55.4 lbs/3000 ft²) ), specifically recitingall 0.1 g/m² increments within the recited ranges. In addition, thesanitary tissue products of the present disclosure may exhibit a basisweight from about 40 g/m² (24.6 lbs/3000 ft²) to about 120 g/m² (73.8lbs/3000 ft²) and/or from about 50 g/m² (30.8 lbs/3000 ft²) to about 110g/m² (67.7 lbs/3000 ft²) and/or from about 55 g/m² (33.8 lbs/3000 ft²)to about 105 g/m² (64.6 lbs/3000 ft²) and/or from about 60 g/m² (36.9lbs/3000 ft²) to 100 g/m² (61.5 lbs/3000 ft²), specifically reciting all0.1 g/m² increments within the recited ranges.

The sanitary tissue products of the present disclosure may have acaliper of between about 5 mils and about 50 mils, or between about 7mils and about 45 mils, or about 9 mils and about 40 mils, specificallyreciting all 0.1 mil increments within the recited ranges.

The sanitary tissue products of the present disclosure may have adensity of less than about 0.60 g/cm³ and/or less than about 0.30 g/cm³and/or less than about 0.20 g/cm³ and/or less than about 0.10 g/cm³and/or less than about 0.07 g/cm³ and/or less than about 0.05 g/cm³and/or from about 0.01 g/cm³ to about 0.20 g/cm³ and/or from about 0.02g/cm³ to about 0.10 g/cm³, specifically reciting all 0.01 g/cm³increments within the recited ranges.

The toilet tissue products of the present disclosure may exhibit a totaldry tensile strength of greater than about 59 g/cm (150 g/in) and/orfrom about 78 g/cm (200 g/in) to about 394 g/cm (1000 g/in) and/or fromabout 98 g/cm (250 g/in) to about 335 g/cm (850 g/in), specificallyincluding all 0.1 g/cm increments between the recited ranges. Inaddition, the sanitary tissue product of the present disclosure mayexhibit a total dry tensile strength of greater than about 196 g/cm (500g/in) and/or from about 196 g/cm (500 g/in) to about 394 g/cm (1000g/in) and/or from about 216 g/cm (550 g/in) to about 335 g/cm (850 g/in)and/or from about 236 g/cm (600 g/in) to about 315 g/cm (800 g/in),specifically including all 0.1 g/cm increments between the recitedranges. In one example, the toilet tissue product of the presentdisclosure exhibits a total dry tensile strength of less than about 394g/cm (1000 g/in) and/or less than about 335 g/cm (850 g/in),specifically including all 0.1 g/cm increments between the recitedranges. In addition, the toilet tissue products of the presentdisclosure may exhibit a total dry tensile strength of greater thanabout 196 g/cm (500 g/in) and/or greater than about 236 g/cm (600 g/in)and/or greater than about 276 g/cm (700 g/in) and/or greater than about315 g/cm (800 g/in) and/or greater than about 354 g/cm (900 g/in) and/orgreater than about 394 g/cm (1000 g/in) and/or from about 315 g/cm (800g/in) to about 1968 g/cm (5000 g/in) and/or from about 354 g/cm (900g/in) to about 1181 g/cm (3000 g/in) and/or from about 354 g/cm (900g/in) to about 984 g/cm (2500 g/in) and/or from about 394 g/cm (1000g/in) to about 787 g/cm (2000 g/in), specifically including all 0.1 g/cmincrements between the recited ranges.

The paper towel products of the present disclosure may exhibit a totaldry tensile strength of less than about 3000 g/25.4 mm and/or less than2000 g/25.4 mm and/or less than 1875 g/25.4 mm and/or less than 1850g/25.4 mm and/or less than 1800 g/25.4 mm and/or less than 1700 g/25.4mm and/or less than 1600 g/25.4 mm and/or less than 1560 g/25.4 mmand/or from about 1500 g/25.4 mm to about 400 g/25.4 mm and/or to about600 g/25.4 mm and/or to about 800 g/25.4 mm and/or to about 1000 g/25.4mm, specifically including all 0.1 mm increments between the recitedranges. In addition, single-ply paper towel products of the presentdisclosure may exhibit a total dry tensile strength of less than about1560 g/25.4 mm and/or less than 1500 g/25.4 mm and/or less than 1400g/25.4 mm and/or from about 1300 g/25.4 mm to about 300 g/25.4 mm and/or400 g/25.4 mm and/or to about 600 g/25.4 mm and/or to about 800 g/25.4mm and/or to about 1000 g/25.4 mm, specifically including all 0.1 mmincrements between the recited ranges.

The sanitary tissue products (e.g., toilet tissue products) of thepresent disclosure may exhibit a geometric mean peak elongation ofgreater than 10%, and/or greater than 15%, and/or greater than 20%,and/or greater than 25%, as measured according to the Dry TensileStrength Test Method detailed herein.

The sanitary tissue products (e.g., toilet tissue products) of thepresent disclosure may exhibit a geometric mean dry tensile strength ofgreater than about 200 g/in, and/or greater than about 250 g/in, and/orgreater than about 300 g/in, and/or greater than about 350 g/in, and/orgreater than about 400 g/in, and/or greater than about 500 g/in, and/orgreater than about 750 g/in, as measured according to the Dry TensileStrength Test Method detailed herein.

The sanitary tissue products (e.g., toilet tissue products) of thepresent disclosure may exhibit a geometric mean modulus of less thanabout 20,000 g/cm, and/or less than about 15,000 g/cm, and/or less thanabout 10,000 g/cm, and/or less than about 5,000 g/cm, and/or less thanabout 3,000 g/cm, and/or less than about 1,500 g/cm, and/or less thanabout 1,200 g/cm, and/or between about 1,200 g/cm and about 0 g/cm,and/or between about 1,200 g/cm and about 700 g/cm, as measuredaccording to the Dry Tensile Strength Test Method detailed herein.

The sanitary tissue products (e.g., toilet tissue products) of thepresent disclosure may exhibit a CD elongation of greater than about 8%,and/or greater than about 10%, and/or greater than about 12%, and/orgreater than about 15%, and/or greater than about 20%, as measuredaccording to the Dry Tensile Strength Test Method detailed herein.Further, the sanitary tissue products (e.g., toilet tissue products) ofthe present disclosure may exhibit a CD elongation of from about 8% toabout 20%, or from about 10% to about 20%, or from about 10% to about15%, as measured according to the Dry Tensile Strength Test Methoddetailed herein.

The sanitary tissue products (e.g., toilet tissue products) of thepresent disclosure may exhibit a dry burst of less than about 660 g,and/or from about 100 g to about 600 g, as measured according to the DryBurst Test Method detailed herein. In another example, the sanitarytissue products (e.g., toilet tissue products) of the present disclosuremay exhibit a dry burst of greater than about 100 g, and/or from about100 g to about 1000 g, and/or from about 100 g to about 600 g, asmeasured according to the Dry Burst Test Method detailed herein.

The paper towel products of the present disclosure may exhibit a wetburst strength of greater than about 270 grams, in another form fromabout 290 g, about 300 g, or about 315 g to about 360 g, about 380 g, orabout 400 g, specifically including all 0.1 g/cm increments between therecited ranges.

The toilet tissue products of the present disclosure may exhibit aninitial total wet tensile strength of less than about 78 g/cm (200 g/in)and/or less than about 59 g/cm (150 g/in) and/or less than about 39 g/cm(100 g/in) and/or less than about 29 g/cm (75 g/in) and/or less thanabout 23 g/cm (60 g/in) and/or less than about 20 g/cm (50 g/in) and/orabout less than about 16 g/cm (40 g/cm), specifically including all 0.1g/cm increments between the recited ranges. In addition, the paper towelproducts of the present disclosure may exhibit an initial total wettensile strength of greater than about 118 g/cm (300 g/in) and/orgreater than about 157 g/cm (400 g/in) and/or greater than about 196g/cm (500 g/in) and/or greater than about 236 g/cm (600 g/in) and/orgreater than about 276 g/cm (700 g/in) and/or greater than about 315g/cm (800 g/in) and/or greater than about 354 g/cm (900 g/in) and/orgreater than about 394 g/cm (1000 g/in) and/or from about 118 g/cm (300g/in) to about 1968 g/cm (5000 g/in) and/or from about 157 g/cm (400g/in) to about 1181 g/cm (3000 g/in) and/or from about 196 g/cm (500g/in) to about 984 g/cm (2500 g/in) and/or from about 196 g/cm (500g/in) to about 787 g/cm (2000 g/in) and/or from about 196 g/cm (500g/in) to about 591 g/cm (1500 g/in), specifically including all 0.1 g/cmincrements between the recited ranges.

Furthermore, the paper towel products of present disclosure may exhibitan initial total wet tensile strength of less than about 800 g/25.4 mmand/or less than about 600 g/25.4 mm and/or less than about 450 g/25.4mm and/or less than about 300 g/25.4 mm and/or less than about 225g/25.4 mm, specifically including all 0.1 g/mm increments between therecited ranges.

The toilet tissue products of the present disclosure may exhibit adecayed initial total wet tensile strength at 30 minutes of less thanabout 39 g/cm (100 g/in) and/or less than about 30 g/cm (75 g/in) and/orless than about 20 g/cm (50 g/in) and/or less than about 16 g/cm (40g/in) and/or less than about 12 g/cm (30 g/in) and/or less than about 8g/cm (20 g/in) and/or less than about 4 g/cm (10 g/in).

The toilet tissue products of the present disclosure may exhibit a fullsheet tensile strength of about 400 g to about 850 g, or about 500 g toabout 750 g, or about 550 g to about 700 g, or about 600 g to about 700g, or greater than 400 g, or greater than 500 g, or greater than 600 g,or greater than 700 g, or greater than 800 g, specifically including all1.0 g increments between the recited ranges. The toilet tissue productsof the present disclosure may exhibit a full sheet tensile strength ofabout 100 g/in to about 212.5 g/in, or about 125 g/in to about 187.5g/in, or about 137.5 g/in to about 175 g/in, or about 150 g/in to about175 g/in, or greater than 100 g/in, or greater than 125 g/in, or greaterthan 150 g/in, or greater than 175 g/in, or greater than 200 g/in,specifically including all 1.0 g/in increments between the recitedranges. Such toilet tissue products of the present disclosure include ashaped line of weakness as detailed herein.

The toilet tissue products of the present disclosure may exhibit a fullsheet average trapezoidal tear force of about 8 g to about 20 g, orabout 10 g to about 18 g, or about 11 g to about 17 g, or less thanabout 20 g, or less than about 18 g, or less than about 16 g, or lessthan about 14 g, or less than about 12 g, or less than about 10 g,specifically including all 0.1 g increments between the recited ranges.Such toilet tissue products of the present disclosure include a shapedline of weakness as detailed herein.

The toilet tissue products of the present disclosure may exhibit a Lineof Weakness Performance Factor (“LWP Factor”) of between about 7 toabout 30, or between about 8 to about 25, or between about 9 to about25, or between about 9.5 to about 25, or between about 10 to about 20,or between about 10 to about 18, or between about 11 to about 20, orbetween about 11 to about 18, or between about 11 to about 17; orgreater than about 7, or greater than about 8, or greater than about 9,or greater than about 9.5, or greater than about 10, or greater thanabout 10.5, or greater than about 11, specifically including all 0.1increments between the recited ranges. Such toilet tissue products ofthe present disclosure include a shaped line of weakness as detailedherein. As detailed below, the LWP Factor is calculated by dividing thefull sheet tensile strength in units of g/in by the full sheet averagetrapezoidal tear strength.

In non-limiting examples, the following data in Tables 1, 2 and 3 wasobtained:

Example 1:

TABLE 1 Full Sheet Average Trapezoidal Tear Strength (g) Full SheetTensile Strength (g) Sheet Width (in) LWP Factor Toilet Tissue -Straight Line of Weakness 21.8 693 3.94 8.1 Toilet Tissue - Shaped Lineof Weakness 16.3 706 3.94 11.0

Example 2:

TABLE 2 Full Sheet Average Trapezoidal Tear Strength (g) Full SheetTensile Strength (g) Sheet Width (in) LWP Factor Toilet Tissue -Straight Line of Weakness 14.9 556 3.94 9.5 Toilet Tissue - Shaped Lineof Weakness 11.3 700 3.94 15.7

Examples 3-6:

TABLE 3 Full Sheet Average Trapezoidal Tear Strength (g) Full SheetTensile Strength (g) Sheet Width (in) LWP Factor Toilet Tissue - ShapedLine of Weakness 11.9 465 3.92 10.0 Toilet Tissue - Shaped Line ofWeakness 10.1 474 3.92 12.0 Toilet Tissue - Shaped Line of Weakness 13.6538 3.92 10.1 Toilet Tissue - Shaped Line of Weakness 14.1 590 4.5 9.3

The rolled sanitary tissue products of the present disclosure mayexhibit a roll compressibility of from about 0.5% to about 15%, or fromabout 1.0% to about 12.5% or from about 1.0% to about 8%, specificallyincluding all 0.1 increments between the recited ranges. The rolledsanitary tissue products of the present disclosure may exhibit a rollcompressibility of less than about 15% and/or less than about 12.5%and/or less than about 10% and/or less than about 8% and/or less thanabout 7% and/or less than about 6% and/or less than about 5% and/or lessthan about 4% and/or less than about 3%, or from about 15% to about 0%,and/or from about 15% to about 0.5%, and/or from about 15% to about 1%,specifically including all 0.1 increments between the recited ranges.The rolled sanitary tissue products of the present disclosure mayexhibit a roll compressibility of from about 4% to about 10% and/or fromabout 4% to about 8% and/or from about 4% to about 7% and/or from about4% to about 6%, specifically including all 0.1 increments between therecited ranges. Such rolled sanitary tissue products of the presentdisclosure are rolled sanitary tissue substrates that include a shapedline of weakness as detailed herein, and roll compressibility ismeasured according to the Percent Compressibility Test Method describedherein.

The rolled sanitary tissue products of the present disclosure mayexhibit a roll bulk of from about 4 cm³/g to about 30 cm³/g and/or fromabout 6 cm³/g to about 15 cm³/g, specifically including all 0.1increments between the recited ranges. The rolled sanitary tissueproducts of the present disclosure may exhibit a roll bulk of greaterthan about 4 cm³/g, greater than about 5 cm³/g, greater than about 6cm³/g, greater than about 7 cm³/g, greater than about 8 cm³/g, greaterthan about 9 cm³/g, greater than about 10 cm³/g and greater than about12 cm³/g, and less than about 20 cm³/g, less than about 18 cm³/g, lessthan about 16 cm³/g, and/or less than about 14 cm³/g, specificallyincluding all 0.1 increments between the recited ranges. Such rolledsanitary tissue products of the present disclosure are rolled sanitarytissue substrates that include a shaped line of weakness as detailedherein.

The rolled sanitary tissue products of the present disclosure mayexhibit a roll bulk of greater than 4 cm³/g and a percentcompressibility of less than 10% and/or a roll bulk of greater than 6cm³/g and a percent compressibility of less than 8% and/or a roll bulkof greater than 8 cm³/g and a percent compressibility of less than 7%.Such rolled sanitary tissue products of the present disclosure arerolled sanitary tissue substrates that include a shaped line of weaknessas detailed herein.

The rolled sanitary tissue products of the present disclosure mayexhibit a roll firmness of from about 2.5 mm to about 15 mm and/or fromabout 3 mm to about 13 mm and/or from about 4 mm to about 10 mm,specifically including all 0.1 increments between the recited ranges.Such rolled sanitary tissue products of the present disclosure arerolled sanitary tissue substrates that include a shaped line of weaknessas detailed herein.

The rolled sanitary tissue products of the present disclosure mayexhibit a roll diameter of from about 3 in to about 12 in and/or fromabout 3.5 in to about 8 in and/or from about 4.5 in to about 6.5 in,specifically including all 0.1 increments between the recited ranges.The rolled sanitary tissue products of the present disclosure mayexhibit a roll diameter of greater than 4 in, greater than 5 in, greaterthan 6 in, greater than 7 in and/or greater than 8 in, specificallyincluding all 0.1 increments between the recited ranges. Such rolledsanitary tissue products of the present disclosure are rolled sanitarytissue substrates that include a shaped line of weakness as detailedherein.

The sanitary tissue products of the present disclosure may exhibit anaverage Free Fiber End value of greater than about 1.5, greater thanabout 3, greater than about 6, and/or greater than about 9, specificallyincluding all 0.1 increments between the recited ranges. The sanitarytissue products of the present disclosure may exhibit an average FreeFiber End value of greater than about 1.5 and less than about 20,greater than 3 and less than about 15, and/or greater than about 6 andless than about 15. In some examples, the sanitary tissue products ofthe present disclosure may have a total perforation length of about46.60 mm, a total non-perforation length of 56.66 mm, a total line ofperforation length of 103.26 mm, and thus a Percent Perforation of42.1%. The sanitary tissue products of the present disclosure mayexhibit a Percent Perforation of between about 30% and about 60%,between about 40% and about 50%, and/or between about 42% and about 47%,specifically including all 0.1 increments between the recited ranges.Such sanitary tissue products of the present disclosure are sanitarytissue substrates that include a shaped line of weakness as detailedherein.

When the sanitary tissue products of the present disclosure are run on aconverting line, the sanitary tissue may be run at a reliabilitypercentage of greater than about 50%, greater than about 60%, greaterthan about 70%, greater than about 80%, greater than about 85%, greaterthan about 90%, greater than about 95%, and/or between about 50% andabout 99%, between about 60% and about 99%, between about 70% and about99%, between about 80% and about 99%, between about 90% and about 99%,or between about 95% and about 99%, specifically including all 1%increments between the recited ranges. The reliability percentage isdetermined for a production run of a given amount of time, for example,8 hours, 10 hours, 12 hours, 15 hours, 20 hours, 24 hours, 2 days, 3days, 5 days, etc. Reliability percentage may be calculated as follows:

$\begin{array}{l}\text{Reliability \% =} \\\frac{\begin{array}{l}\text{Total amount of time converting machine is converting} \\{\text{product during a set production run}\left( \text{min} \right)}\end{array}}{\text{Total length of time of the set production run}\left( \text{min} \right)}\end{array}$

Such sanitary tissue products of the present disclosure are rolledsanitary tissue substrates that include a shaped line of weakness asdetailed herein.

When the sanitary tissue products of the present disclosure are run on aconverting line, the sanitary tissue may be run at a speed of greaterthan about 500 ft/min, greater than about 600 ft/min, greater than about700 ft/min, greater than about 800 ft/min, greater than about 900ft/min, greater than about 1000 ft/min, greater than about 1100 ft/min,greater than about 1200 ft/min, greater than about 1300 ft/min, greaterthan about 1400 ft/min, greater than about 1500 ft/min, and/or betweenabout 500 ft/min and about 1500 ft/min, or between about 1000 ft/min andabout 1500 ft/min, specifically including all 1 ft/min incrementsbetween the recited ranges. Such rolled sanitary tissue products of thepresent disclosure are rolled sanitary tissue substrates that include ashaped line of weakness as detailed herein.

When the sanitary tissue products of the present disclosure are run on aconverting line, the sanitary tissue may be run at a speed of greaterthan about 500 ft/min, greater than about 600 ft/min, greater than about700 ft/min, greater than about 800 ft/min, greater than about 900ft/min, greater than about 1000 ft/min, greater than about 1100 ft/min,greater than about 1200 ft/min, greater than about 1300 ft/min, greaterthan about 1400 ft/min, greater than about 1500 ft/min, and/or betweenabout 500 ft/min and about 1500 ft/min, or between about 1000 ft/min andabout 1500 ft/min, specifically including all 1 ft/min incrementsbetween the recited ranges, while simultaneously achieving a reliabilitypercentage of greater than about 50%, greater than about 60%, greaterthan about 70%, greater than about 80%, greater than about 85%, greaterthan about 90%, greater than about 95%, and/or between about 50% andabout 99%, between about 60% and about 99%, between about 70% and about99%, between about 80% and about 99%, between about 90% and about 99%,or between about 95% and about 99%, specifically including all 1%increments between the recited ranges. Such rolled sanitary tissueproducts of the present disclosure are rolled sanitary tissue substratesthat include a shaped line of weakness as detailed herein.

Methods Basis Weight Test Method for Toilet Tissue Samples

Basis weight of a fibrous structure and/or sanitary tissue product ismeasured on stacks of twelve usable units using a top loading analyticalbalance with a resolution of ± 0.001 g. The balance is protected fromair drafts and other disturbances using a draft shield. A precisioncutting die, measuring 3.500 in ± 0.007 in by 3.500 in ± 0.007 in isused to prepare all samples.

Stack six usable units aligning any perforations or folds on the sameside of stack. With a precision cutting die, cut the stack into squares.Select six more usable units of the sample; stack and cut in likemanner. Combine the two stacks to form a single stack twelve squaresthick. Measure the mass of the sample stack and record the result to thenearest 0.001 g.

The Basis Weight is calculated in lbs/3000 ft² or g/m² as follows:

-   Basis Weight = (Mass of stack)/[ (Area of 1 layer in stack) ×    (Number of layers)]

For example,

$\begin{array}{l}{\text{Basis Weight}\left( {{\text{lbs}/3000}\text{ft}^{2}} \right) =} \\\left\lbrack {\left\lbrack {{\text{Mass of stack}\left( \text{g} \right)}/{453.6\left( {\text{g}/\text{lbs}} \right)}} \right\rbrack/} \right) \\{\left( \left\lbrack {12.25{\left( \text{in}^{2} \right)/{144\left( {\text{in}^{2}/\text{ft}^{2}} \right) \times 12}}} \right\rbrack \right\rbrack \times 3000}\end{array}$

Or,

$\begin{array}{l}{\text{Basis Weight}\left( {\text{g}/\text{m}^{2}} \right) =} \\{\text{Mass of stack}{\left( \text{g} \right)/\left\lbrack {{{79.032\left( \text{cm}^{2} \right)}/{10, 000\left( {\text{cm}^{2}/\text{m}^{2}} \right)}} \times 12} \right\rbrack}}\end{array}$

Report result to the nearest 0.1 lbs/3000 ft² or 0.1 g/m². Sampledimensions can be changed or varied using a similar precision cutter asmentioned above, so as at least 100 square inches of sample area instack.

Basis Weight Test Method for Paper Towel Samples

Basis weight of a fibrous structure and/or sanitary tissue product ismeasured on stacks of twelve usable units using a top loading analyticalbalance with a resolution of ± 0.001 g. The balance is protected fromair drafts and other disturbances using a draft shield. A precisioncutting die, measuring 4.000 in ± 0.008 in by 4.000 in ± 0.008 in isused to prepare all samples.

Stack eight usable units aligning any perforations or folds on the sameside of stack. With a precision cutting die, cut the stack into squares.Measure the mass of the sample stack and record the result to thenearest 0.001 g.

The Basis Weight is calculated in lbs/3000 ft² or g/m² as follows:

$\begin{array}{l}\text{Basis Weight =} \\{\left( \text{Mass of stack} \right)/\left\lbrack {\left( \text{Area of 1 layer in stack} \right) \times \left( \text{Number of layers} \right)} \right\rbrack}\end{array}$

For example,

$\begin{array}{l}{\text{Basis Weight}\left( {{\text{lbs}/3000}\text{ft}^{2}} \right) =} \\\left\lbrack {\left\lbrack {{\text{Mass of stack}\left( \text{g} \right)}/{453.6\left( {\text{g}/\text{lbs}} \right)}} \right\rbrack/} \right) \\{\left( \left\lbrack {16{\left( \text{in}^{2} \right)/{144\left( {\text{in}^{2}/\text{ft}^{2}} \right) \times 8}}} \right\rbrack \right\rbrack \times 3000}\end{array}$

Or,

Basis Weight(g/m²) = Mass of stack(g)/[103.23(cm²)/10, 000(cm²/m²) × 8]

Report result to the nearest 0.1 lbs/3000 ft² or 0.1 g/m². Sampledimensions can be changed or varied using a similar precision cutter asmentioned above, so as at least 100 square inches of sample area instack.

Caliper Test Method for Toilet Tissue and Paper Towel Samples

Caliper of a fibrous structure and/or sanitary tissue product ismeasured using a ProGage Thickness Tester (Thwing-Albert InstrumentCompany, West Berlin, NJ) with a pressure foot diameter of 2.00 inches(area of 3.14 in²) at a pressure of 95 g/in². Four (4) samples areprepared by cutting of a usable unit such that each cut sample is atleast 2.5 inches per side, avoiding creases, folds, and obvious defects.An individual specimen is placed on the anvil with the specimen centeredunderneath the pressure foot. The foot is lowered at 0.03 in/sec to anapplied pressure of 95 g/in². The reading is taken after 3 sec dwelltime, and the foot is raised. The measure is repeated in like fashionfor the remaining 3 specimens. The caliper is calculated as the averagecaliper of the four specimens and is reported in mils (0.001 in) to thenearest 0.1 mils.

Dry Tensile Strength Test Method for Toilet Tissue Samples

Elongation, Tensile Strength, TEA and Tangent Modulus are measured on aconstant rate of extension tensile tester with computer interface (asuitable instrument is the EJA Vantage from the Thwing-Albert InstrumentCo. Wet Berlin, NJ) using a load cell for which the forces measured arewithin 10% to 90% of the limit of the load cell. Both the movable(upper) and stationary (lower) pneumatic jaws are fitted with smoothstainless steel faced grips, with a design suitable for testing 1 inchwide sheet material (Thwing-Albert item #733GC). An air pressure ofabout 60 psi is supplied to the jaws.

Twenty usable units of fibrous structures are divided into four stacksof five usable units each. The usable units in each stack areconsistently oriented with respect to machine direction (MD) and crossdirection (CD). Two of the stacks are designated for testing in the MDand two for CD. Using a one inch precision cutter (Thwing Albert) take aCD stack and cut two, 1.00 in ± 0.01 in wide by at least 3.0 in longstrips from each CD stack (long dimension in CD). Each strip is fiveusable unit layers thick and will be treated as a unitary specimen fortesting. In like fashion cut the remaining CD stack and the two MDstacks (long dimension in MD) to give a total of 8 specimens (fivelayers each), four CD and four MD.

Program the tensile tester to perform an extension test, collectingforce and extension data at an acquisition rate of 20 Hz as thecrosshead raises at a rate of 4.00 in/min (10.16 cm/min) until thespecimen breaks. The break sensitivity is set to 50%, i.e., the test isterminated when the measured force drops to 50% of the maximum peakforce, after which the crosshead is returned to its original position.

Set the gage length to 2.00 inches. Zero the crosshead and load cell.Insert the specimen into the upper and lower open grips such that atleast 0.5 inches of specimen length is contained each grip. Alignspecimen vertically within the upper and lower jaws, then close theupper grip. Verify specimen is aligned, then close lower grip. Thespecimen should be under enough tension to eliminate any slack, but lessthan 0.05 N of force measured on the load cell. Start the tensile testerand data collection. Repeat testing in like fashion for all four CD andfour MD specimens.

Program the software to calculate the following from the constructedforce (g) verses extension (in) curve:

Tensile Strength is the maximum peak force (g) divided by the product ofthe specimen width (1 in) and the number of usable units in the specimen(5), and then reported as g/in to the nearest 1 g/in.

Adjusted Gage Length is calculated as the extension measured at 11.12 gof force (in) added to the original gage length (in).

Elongation is calculated as the extension at maximum peak force (in)divided by the Adjusted Gage Length (in) multiplied by 100 and reportedas % to the nearest 0.1 %.

Tensile Energy Absorption (TEA) is calculated as the area under theforce curve integrated from zero extension to the extension at themaximum peak force (g*in), divided by the product of the adjusted GageLength (in), specimen width (in), and number of usable units in thespecimen (5). This is reported as g*in/in² to the nearest 1 g*in/in².

Replot the force (g) verses extension (in) curve as a force (g) versesstrain curve. Strain is herein defined as the extension (in) divided bythe Adjusted Gage Length (in).

Program the software to calculate the following from the constructedforce (g) verses strain curve:

Tangent Modulus is calculated as the least squares linear regressionusing the first data point from the force (g) verses strain curverecorded after 190.5 g (38.1 g × 5 layers) force and the 5 data pointsimmediately preceding and the 5 data points immediately following it.This slope is then divided by the product of the specimen width (2.54cm) and the number of usable units in the specimen (5), and thenreported to the nearest 1 g/cm.

The Tensile Strength (g/in), Elongation (%), TEA (g*in/in²) and TangentModulus (g/cm) are calculated for the four CD specimens and the four MDspecimens. Calculate an average for each parameter separately for the CDand MD specimens.

Calculations:

$\begin{array}{l}\text{Geometric Mean Tensile = Square Root of} \\\left\lbrack {\text{MD Tensile Strength}\left( {\text{g}/\text{in}} \right) \times \text{CD Tensile Strength}\left( {\text{g}/\text{in}} \right)} \right\rbrack\end{array}$

$\begin{array}{l}\text{Geometric Mean Peak Elongation =} \\{\text{Square Root of}\left\lbrack {\text{Md Elongation}(\%) \times \text{CD Elongation}(\%)} \right\rbrack}\end{array}$

$\begin{array}{l}\text{Geometric Mean TEA =} \\{\text{Square Root of}\left\lbrack {\text{MD TEA}\left( {\text{g*in}/\text{in}^{2}} \right) \times \text{CD TEA}\left( {\text{g*}{\text{in}/\text{in}^{2}}} \right)} \right\rbrack}\end{array}$

$\begin{array}{l}\text{Geometric Mean Modulus =} \\{\text{Square Root of}\left\lbrack {\text{MD Modulus}\left( {\text{g}/\text{cm}} \right) \times \text{CD Modulus}\left( {\text{g}/\text{cm}} \right)} \right\rbrack}\end{array}$

$\begin{array}{l}{\text{Total Dry Tensile Strength}\left( \text{TDT} \right) =} \\{\text{MD Tensile Strength}\left( {\text{g}/\text{in}} \right) + \text{CD Tensile Strength}\left( {\text{g}/\text{in}} \right)}\end{array}$

Total TEA = MD TEA(g*in/in²) + CD TEA(g*in/in²)

Total Modulus = MD Modulus(g/cm) + CD Modulus(g/cm)

$\begin{array}{l}\text{Tensile Ratio =} \\{\text{MD Tensile Strength}{\left( {\text{g}/\text{in}} \right)/{\text{CD Tensile Strength}\left( {\text{g}/\text{in}} \right)}}}\end{array}$

Dry Tensile Strength Test Method for Paper Towel Samples

Elongation, Tensile Strength, TEA and Tangent Modulus are measured on aconstant rate of extension tensile tester with computer interface (asuitable instrument is the EJA Vantage from the Thwing-Albert InstrumentCo. Wet Berlin, NJ) using a load cell for which the forces measured arewithin 10% to 90% of the limit of the load cell. Both the movable(upper) and stationary (lower) pneumatic jaws are fitted with smoothstainless steel faced grips, with a design suitable for testing 1 inchwide sheet material (Thwing-Albert item #733GC). An air pressure ofabout 60 psi is supplied to the jaws.

Eight usable units of fibrous structures are divided into two stacks offour usable units each. The usable units in each stack are consistentlyoriented with respect to machine direction (MD) and cross direction(CD). One of the stacks is designated for testing in the MD and theother for CD. Using a one inch precision cutter (Thwing Albert) take aCD stack and cut one, 1.00 in ± 0.01 in wide by at least 5.0 in longstack of strips (long dimension in CD). In like fashion cut theremaining stack in the MD (strip long dimension in MD), to give a totalof 8 specimens, four CD and four MD strips. Each strip to be tested isone usable unit thick, and will be treated as a unitary specimen fortesting.

Program the tensile tester to perform an extension test, collectingforce and extension data at an acquisition rate of 20 Hz as thecrosshead raises at a rate of 4.00 in/min (10.16 cm/min) until thespecimen breaks. The break sensitivity is set to 50%, i.e., the test isterminated when the measured force drops to 50% of the maximum peakforce, after which the crosshead is returned to its original position.

Set the gage length to 4.00 inches. Zero the crosshead and load cell.Insert the specimen into the upper and lower open grips such that atleast 0.5 inches of specimen length is contained each grip. Alignspecimen vertically within the upper and lower jaws, then close theupper grip. Verify specimen is aligned, then close lower grip. Thespecimen should be under enough tension to eliminate any slack, but lessthan 0.05 N of force measured on the load cell. Start the tensile testerand data collection. Repeat testing in like fashion for all four CD andfour MD specimens.

Program the software to calculate the following from the constructedforce (g) verses extension (in) curve:

Tensile Strength is the maximum peak force (g) divided by the specimenwidth (1 in), and reported as g/in to the nearest 1 g/in.

Adjusted Gage Length is calculated as the extension measured at 11.12 gof force (in) added to the original gage length (in).

Elongation is calculated as the extension at maximum peak force (in)divided by the Adjusted Gage Length (in) multiplied by 100 and reportedas % to the nearest 0.1%.

Tensile Energy Absorption (TEA) is calculated as the area under theforce curve integrated from zero extension to the extension at themaximum peak force (g*in), divided by the product of the adjusted GageLength (in) and specimen width (in). This is reported as g*in/in² to thenearest 1 g*in/in².

Replot the force (g) verses extension (in) curve as a force (g) versesstrain curve. Strain is herein defined as the extension (in) divided bythe Adjusted Gage Length (in).

Program the software to calculate the following from the constructedforce (g) verses strain curve:

Tangent Modulus is calculated as the least squares linear regressionusing the first data point from the force (g) verses strain curverecorded after 38.1 g force and the 5 data points immediately precedingand the 5 data points immediately following it. This slope is thendivided by the specimen width (2.54 cm), and then reported to thenearest 1 g/cm.

The Tensile Strength (g/in), Elongation (%), TEA (g*in/in²) and TangentModulus (g/cm) are calculated for the four CD specimens and the four MDspecimens. Calculate an average for each parameter separately for the CDand MD specimens.

Calculations:

$\begin{array}{l}\text{Geometric Mean Tensile =} \\\text{Square Root of} \\\left\lbrack {\text{MD Tensile Strength}\left( {\text{g}/\text{in}} \right) \times \text{CD Tensile Strength}\left( {\text{g}/\text{in}} \right)} \right\rbrack\end{array}$

$\begin{array}{l}\text{Geometric Mean Peak Elongation =} \\{\text{Square Root of}\left\lbrack {\text{MD Elongation}(\%) \times \text{CD Elongation}(\%)} \right\rbrack}\end{array}$

$\begin{array}{l}\text{Geometric Mean TEA =} \\{\text{Square Root of}\left\lbrack {\text{MD TEA}\left( {\text{g*in}/\text{in}^{2}} \right) \times \text{CD TEA}\left( {\text{g*in}/\text{in}^{2}} \right)} \right\rbrack}\end{array}$

$\begin{array}{l}\text{Geometric Mean Modulus =} \\{\text{Square Root of}\left\lbrack {\text{MD Modulus}\left( {\text{g}/\text{cm}} \right) \times \text{CD Modulus}\left( {\text{g}/\text{cm}} \right)} \right\rbrack}\end{array}$

$\begin{array}{l}{\text{Total Dry Tensile Strength}\left( \text{TDT} \right) =} \\{\text{MD Tensile Strength}\left( {\text{g}/\text{in}} \right) + \text{CD Tensile Strength}\left( {\text{g}/\text{in}} \right)}\end{array}$

Total TEA = MD TEA(g*in/in²) + CD TEA(g*in/in²)

Total Modulus = MD Modulus(g/cm) + CD Modulus(g/cm)

$\begin{array}{l}\text{Tensile Ratio =} \\{\text{MD Tensile Strength}{\left( {\text{g}/\text{in}} \right)/{\text{CD Tensile Strength}\left( {\text{g}/\text{in}} \right)}}}\end{array}$

Dry Burst Test Method

The Dry Burst Test is run according to ISO 12625-9:2005, except for anydeviations described below. Fibrous structure samples for each conditionto be tested are cut to a size appropriate for testing, a minimum offive (5) samples for each condition to be tested are prepared.

A burst tester (Burst Tester Intelect-II-STD Tensile Test Instrument,Cat. No. 1451- 24PGB available from Thwing- Albert Instrument Co.,Philadelphia, PA., or equivalent) is set up according to themanufacturer’s instructions and the following conditions: Speed: 12.7centimeters per minute; Break Sensitivity: 20 grams; and Peak Load: 2000grams. The load cell is calibrated according to the expected burststrength.

A fibrous structure sample to be tested is clamped and held between theannular clamps of the burst tester and is subjected to increasing forcethat is applied by a 0.625 inch diameter, polished stainless steel ballupon operation of the burst tester according to the manufacturer’sinstructions. The burst strength is that force that causes the sample tofail.

The burst strength for each fibrous structure sample is recorded. Anaverage and a standard deviation for the burst strength for eachcondition is calculated.

The Dry Burst is reported as the average and standard deviation for eachcondition to the nearest gram.

Wet Burst Test Method

“Wet Burst Strength” as used herein is a measure of the ability of afibrous structure and/or a fibrous structure product incorporating afibrous structure to absorb energy, when wet and subjected todeformation normal to the plane of the fibrous structure and/or fibrousstructure product. The Wet Burst Test is run according to ISO12625-9:2005, except for any deviations or modifications describedbelow.

Wet burst strength may be measured using a Thwing-Albert Burst TesterCat. No. 177 equipped with a 2000 g load cell commercially availablefrom Thwing-Albert Instrument Company, Philadelphia, Pa, or anequivalent instrument.

Wet burst strength is measured by preparing four (4) multi-ply fibrousstructure product samples for testing. First, condition the samples fortwo (2) hours at a temperature of 73° F. ± 2° F. (23° C. ± 1° C.) and arelative humidity of 50% (± 2%). Take one sample and horizontally dipthe center of the sample into a pan filled with about 25 mm of roomtemperature distilled water. Leave the sample in the water four (4) (±0.5) seconds. Remove and drain for three (3) (± 0.5) seconds holding thesample vertically so the water runs off in the cross machine direction.Proceed with the test immediately after the drain step.

Place the wet sample on the lower ring of the sample holding device ofthe Burst Tester with the outer surface of the sample facing up so thatthe wet part of the sample completely covers the open surface of thesample holding ring. If wrinkles are present, discard the samples andrepeat with a new sample. After the sample is properly in place on thelower sample holding ring, turn the switch that lowers the upper ring onthe Burst Tester. The sample to be tested is now securely gripped in thesample holding unit. Start the burst test immediately at this point bypressing the start button on the Burst Tester. A plunger will begin torise (or lower) toward the wet surface of the sample. At the point whenthe sample tears or ruptures, report the maximum reading. The plungerwill automatically reverse and return to its original starting position.Repeat this procedure on three (3) more samples for a total of four (4)tests, i.e., four (4) replicates. Report the results as an average ofthe four (4) replicates, to the nearest gram.

Wet Tensile Test Method

The Wet Tensile Strength test method is utilized for the determinationof the wet tensile strength of a fibrous structure product strip aftersoaking with water, using a tensile-strength-testing apparatus operatingwith a constant rate of elongation. The Wet Tensile Strength test is runaccording to ISO 12625-5:2005, except for any deviations ormodifications described below. This method uses a verticaltensile-strength tester, in which a device that is held in the lowergrip of the tensile-strength tester, called a Finch Cup, is used toachieve the wetting.

Using a one inch JDC precision sample cutter (Thwing Albert) cut six1.00 in ± 0.01 in wide strips from a fibrous structure product sheet inthe machine direction (MD), and six strips in the cross machinedirection (CD). An electronic tensile tester (Model 1122, Instron Corp.,or equivalent) is used and operated at a crosshead speed of 1.0 inch(about 1.3 cm) per minute and a gauge length of 1.0 inch (about 2.5 cm).The two ends of the strip are placed in the upper jaws of the machine,and the center of the strip is placed around a stainless steel peg. Thestrip is soaked in distilled water at about 20° C. for the identifiedsoak time, and then measured for peak tensile strength. Reference to amachine direction means that the sample being tested is prepared suchthat the length of the strip is cut parallel to the machine direction ofmanufacture of the product.

The MD and CD wet peak tensile strengths are determined using the aboveequipment and calculations in the conventional manner. The reportedvalue is the arithmetic average of the six strips tested for eachdirectional strength to the nearest 0.1 grams force. The total wettensile strength for a given soak time is the arithmetic total of the MDand CD tensile strengths for that soak time. Initial total wet tensilestrength (“ITWT”) is measured when the paper has been submerged for 5 ±0.5 seconds. Decayed total wet tensile (“DTWT”) is measured after thepaper has been submerged for 30 ± 0.5 minutes.

Full Sheet Tensile Strength Test Method for Toilet Tissue and PaperTowel Samples

Elongation, Tensile Strength, TEA and Tangent Modulus are measured by orcalculated from data generated by a constant rate of extension tensiletester with computer interface (a suitable instrument is the EJA Vantagefrom the Thwing-Albert Instrument Co. Wet Berlin, N.J.) using a loadcell for which the forces measured are within 10% to 90% of the limit ofthe load cell. Both the movable (upper) and stationary (lower) pneumaticjaws are fitted with smooth stainless steel faced grips, with a designsuitable for testing the full width of one sheet material. For example,the Thwing-Albert item #734K grips are suitable for testing a sheethaving about a four inch width. An air pressure of about 60 psi issupplied to the jaws.

Unless otherwise specified, all tests described herein, including thosedescribed in the detailed description, are conducted on samples thathave been conditioned in a conditioned room at a temperature of 73° F. ±2° F. (23° C. ± 1° C.) and a relative humidity of 50% (± 2%) for 2 hoursprior to the test. All tests are conducted in such conditioned room(s).All plastic and paper board packaging materials must be carefullyremoved from the paper samples prior to testing. If the sample is inroll form, remove at least the leading five sheets by unwinding andtearing off via the closest line of weakness, and discard before testingthe sample. Do not test sheet samples with defects such as perforationskips, wrinkles, tears, incomplete perforations, holes, etc.

A full finished product width sheet sample of a paper towel or bathtissue product is cut so that a perforation line passes across the sheetparallel to each cut in the width dimension. More specifically, take twoadjacent sheets separated by a line of weakness (comprising one or moreperforations), and cut a test sample to include at least a portion ofthe two tissue sheets. The cuts should be made across the width of thesheet generally parallel to the line of perforation and equally aboutthe line of perforation. For example, the first cut is made at least twoinches above the line of weakness comprising perforations and anothercut is made on the other side of the line of weakness at least twoinches from the line of weakness comprising perforations. At all timesthe sample should be handled in such a manner that perforations are notdamaged or weakened. The prepared sample is placed in the grips so thatno part of the line of weakness is touching or inside the clamped gripfaces. Further, the line of weakness should be generally parallel to thegrips. Stated another way, if an imaginary line were drawn across thewidth of the sheet connecting the two points at which the line ofweakness crosses the edge of the sheet, the imaginary line should begenerally parallel to the longitudinal axis of the grips (i.e.,perpendicular to the direction of elongation).

Program the tensile tester to perform an extension test, collectingforce and extension data at an acquisition rate of 100 Hz as thecrosshead raises at a rate of 4.00 in/min (10.16 cm/min) until thespecimen breaks (i.e., when the test specimen is physically separatedinto two parts). The break sensitivity is set to 98%, i.e., the test isterminated when the measured force drops to ≤ 2% of the maximum peakforce, after which the crosshead is returned to its original position.

Set the gage length to 2.0 inches. Zero the crosshead position and loadcell. Insert the sheet sample into the upper and lower open grips suchthat at least 0.5 inches of sheet length is contained in each grip.Verify that the sheet sample is properly aligned, as previouslydiscussed, and then close lower and upper grips. The sheet sample shouldbe under enough tension to eliminate any slack, but less than 5 g offorce measured on the load cell. Start the tensile tester and datacollection.

The location of failure (break) should be the line of weakness. Eachsample sheet should break completely at the line of weakness. The peakforce to tear the line of weakness is reported in grams. If the locationof the failure (break) is not the line of weakness, disregard the dataand repeat the test with another sheet sample.

Adjusted Gage Length is calculated as the extension measured at 5 g offorce (in) added to the original gage length (in).

Peak Tensile is calculated as the force at the maximum or peak force.The result is reported as the Full Sheet Tensile Strength value in unitsof either total grams force (g) to the nearest 1 g, or grams force (g)per sheet width (in), to the nearest 1 g/in.

Total Energy Absorption to Failure (TEA to Failure) is calculated as thearea under the force curve integrated from zero extension to theextension at the “failure” point (g*in), divided by the product of theadjusted Gage Length (in) and sample width (in). The failure point isdefined here as the extension when the tension force falls to 5% of themaximum peak force. This is reported with units of g*in/in² to thenearest 1 g*in/in².

Repeat the above mentioned steps for each sample sheet. Four samplesheets should be tested and the results from those four tests should beaveraged to determine a reportable data point.

Full Sheet Average Trapezoidal Tear Force Test Method for Toilet Tissueand Paper Towel Samples

The Full Sheet Average Trapezoidal Tearing Force test method is adaptedfrom ASTM D4533/D4533M - 15 to measure the average force required totear across the entire width of the sheet of a perforated fibrousstructure product. The nonparallel sides of an isosceles trapezoid,centered on a line of perforation across a fibrous structure productspecimen, are clamped in parallel jaws of a constant rate of extensiontensile testing machine. The separation of the jaws is continuouslyincreased to initiate and propagate a tear along the line of perforationwhile the force is measured, and the average force is calculated.

An outline of an isosceles trapezoid is marked on a specimen of twoadjacent sheets of a fibrous structure product, such that a perforationline is centered between the two nonparallel sides of the trapezoid. Thetrapezoid dimensions are shown in FIG. 1 of ASTM D4533/D4533M - 15. Theshorter (25 mm) parallel side of the trapezoid is aligned with a sideedge of the specimen, as pictured, and the nonparallel lines are thendrawn at the depicted dimensions, but extending across the entire widthof the sheet. No preliminary cut is made at the edge of the specimenprior to testing.

The specimen is conditioned for at least 2 hours and tested in a room atconstant temperature (23° C. ± 2° C.) and relative humidity (50% ± 2%).

The distance between the parallel grips is set at 25.0 mm. The pneumaticjaws are designed to hold the grips parallel throughout the test. Theload cell is selected such that the forces measured occur between 15%and 85% of the full-scale load. The tensile tester is programed toperform an extension test, collecting force and extension data at anacquisition rate of 100 Hz as the crosshead raises at a rate of 300mm/min. The crosshead position and load cell are zeroed.

The sample is secured in the tensile testing machine using grips havinga width such that the entire width of the specimen is secured. Thespecimen is clamped along the nonparallel sides of the trapezoid so thatthe end edges of the grips are in line with the 25 mm long side of thetrapezoid, and the center line of the perforation across the width iscentered between the grips. The initial slope of the line perforation atthe 25 mm edge should be parallel to the grips or sloped downward. Theshort edge is held taut, but measuring less than 5 grams force, and theremaining width of the specimen is allowed to lie in folds. The loadcell is re-zeroed.

The test is started and force data is recorded as the tear is initiatedand propagated along the line of perforation across the entire width ofthe fibrous structure product specimen until the two sheets are fullyseparated at which time data collection is stopped. If a specimen slips,or fails at a location other than along the line of perforation the datais discarded and another specimen tested.

All force data collected from the initiation of the tear to fullseparation of the specimen is averaged and the value recorded to thenearest 0.1 grams. Ten replicate specimen samples are prepared andtested in like fashion. The average of the ten replicates is calculatedand reported as the Full Sheet Average Trapezoidal Tear Strength to thenearest 0.1 grams.

Line of Weakness Performance Factor

The Line of Weakness Performance Factor is calculated by taking theratio of the Full Sheet Tensile Strength, in grams force (g) per sheetwidth (in), to the Full Sheet Average Trapezoidal Tear Strength. Thefactor is calculated according to the following equation and reported tothe nearest 0.1 units:

$\text{LWP Factor =}\frac{\text{Full Sheet Tensile Strength}\left( {\text{g}/\text{in}} \right)}{\text{Full Sheet Average Trapezoidal Tear Strength}\left( \text{g} \right)}$

As defined by the above equation, the units for LWP Factor are (g/in)/g.However, the LWP Factor is reported, and referred to herein, as aunitless number.

Percent Compressibility Test Method for Toilet Tissue Roll and PaperTowel Roll Samples

Percent Roll Compressibility (Percent Compressibility) is determinedusing the Roll Diameter Tester 1000 as shown in FIG. 9 . It is comprisedof a support stand made of two aluminum plates, a base plate 1001 and avertical plate 1002 mounted perpendicular to the base, a sample shaft1003 to mount the test roll, and a bar 1004 used to suspend a precisiondiameter tape 1005 that wraps around the circumference of the test roll.Two different weights 1006 and 1007 are suspended from the diameter tapeto apply a confining force during the uncompressed and compressedmeasurement. All testing is performed in a conditioned room maintainedat about 23° C. ± 2 C° and about 50% ± 2% relative humidity.

The diameter of the test roll is measured directly using a Pi® tape orequivalent precision diameter tape (e.g. an Executive Diameter tapeavailable from Apex Tool Group, LLC, Apex, NC, Model No. W606PD) whichconverts the circumferential distance into a diameter measurement so theroll diameter is directly read from the scale. The diameter tape isgraduated to 0.01 inch increments with accuracy certified to 0.001 inchand traceable to NIST. The tape is 0.25 in wide and is made of flexiblemetal that conforms to the curvature of the test roll but is notelongated under the 1100 g loading used for this test. If necessary thediameter tape is shortened from its original length to a length thatallows both of the attached weights to hang freely during the test, yetis still long enough to wrap completely around the test roll beingmeasured. The cut end of the tape is modified to allow for hanging of aweight (e.g. a loop). All weights used are calibrated, Class F hookedweights, traceable to NIST.

The aluminum support stand is approximately 600 mm tall and stableenough to support the test roll horizontally throughout the test. Thesample shaft 1003 is a smooth aluminum cylinder that is mountedperpendicularly to the vertical plate 1002 approximately 485 mm from thebase. The shaft has a diameter that is at least 90% of the innerdiameter of the roll and longer than the width of the roll. A smallsteal bar 1004 approximately 6.3 mm diameter is mounted perpendicular tothe vertical plate 1002 approximately 570 mm from the base andvertically aligned with the sample shaft. The diameter tape is suspendedfrom a point along the length of the bar corresponding to the midpointof a mounted test roll. The height of the tape is adjusted such that thezero mark is vertically aligned with the horizontal midline of thesample shaft when a test roll is not present.

Condition the samples at about 23° C. ± 2° C. and about 50% ± 2%relative humidity for 2 hours prior to testing. Rolls with cores thatare crushed, bent or damaged should not be tested. Place the test rollon the sample shaft 1003 such that the direction the paper was rolledonto its core is the same direction the diameter tape will be wrappedaround the test roll. Align the midpoint of the roll’s width with thesuspended diameter tape. Loosely loop the diameter tape 1004 around thecircumference of the roll, placing the tape edges directly adjacent toeach other with the surface of the tape lying flat against the testsample. Carefully, without applying any additional force, hang the 100 gweight 1006 from the free end of the tape, letting the weighted end hangfreely without swinging. Wait 3 seconds. At the intersection of thediameter tape 1008, read the diameter aligned with the zero mark of thediameter tape and record as the Original Roll Diameter to the nearest0.01 inches. With the diameter tape still in place, and without anyundue delay, carefully hang the 1000 g weight 1007 from the bottom ofthe 100 g weight, for a total weight of 1100 g. Wait 3 seconds. Againread the roll diameter from the tape and record as the Compressed RollDiameter to the nearest 0.01 inch. Calculate percent compressibility tothe according to the following equation and record to the nearest 0.1%:

$\begin{array}{l}{\%\mspace{6mu} Compressibility =} \\{\frac{\left( {Orginal\mspace{6mu} Roll\mspace{6mu} Diameter} \right) - \left( {Compressed\mspace{6mu} Roll\mspace{6mu} Diameter} \right)}{Original\mspace{6mu} Roll\mspace{6mu} Diameter} \times 100}\end{array}$

Repeat the testing on 10 replicate rolls and record the separate resultsto the nearest 0.1%. Average the 10 results and report as the PercentCompressibility to the nearest 0.1%.

Roll Firmness Test Method for Toilet Tissue Roll and Paper Towel RollSamples

Roll Firmness is measured on a constant rate of extension tensile testerwith computer interface (a suitable instrument is the MTS Alliance usingTestworks 4.0 Software, as available from MTS Systems Corp., EdenPrairie, MN) using a load cell for which the forces measured are within10% to 90% of the limit of the cell. The roll product is heldhorizontally, a cylindrical probe is pressed into the test roll, and thecompressive force is measured versus the depth of penetration. Alltesting is performed in a conditioned room maintained at 23° C. ± 2° C.and 50% ± 2% relative humidity.

Referring to FIG. 10 , the upper movable fixture 2000 consist of acylindrical probe 2001 made of machined aluminum with a 19.00 ± 0.05 mmdiameter and a length of 38 mm. The end of the cylindrical probe 2002 ishemispheric (radius of 9.50 ± 0.05 mm) with the opposing end 2003machined to fit the crosshead of the tensile tester. The fixtureincludes a locking collar 2004 to stabilize the probe and maintainalignment orthogonal to the lower fixture. The lower stationary fixture2100 is an aluminum fork with vertical prongs 2101 that supports asmooth aluminum sample shaft 2101 in a horizontal position perpendicularto the probe. The lower fixture has a vertical post 2102 machined to fitits base of the tensile tester and also uses a locking collar 2103 tostabilize the fixture orthogonal to the upper fixture.

The sample shaft 2101 has a diameter that is 85% to 95% of the innerdiameter of the roll and longer than the width of the roll. The ends ofsample shaft are secured on the vertical prongs with a screw cap 2104 toprevent rotation of the shaft during testing. The height of the verticalprongs 2101 should be sufficient to assure that the test roll does notcontact the horizontal base of the fork during testing. The horizontaldistance between the prongs must exceed the length of the test roll.

Program the tensile tester to perform a compression test, collectingforce and crosshead extension data at an acquisition rate of 100 Hz.Lower the crosshead at a rate of 10 mm/min until 5.00 g is detected atthe load cell. Set the current crosshead position as the corrected gagelength and zero the crosshead position. Begin data collection and lowerthe crosshead at a rate of 50 mm/min until the force reaches 10 N.Return the crosshead to the original gage length.

Remove all of the test rolls from their packaging and allow them tocondition at about 23° C. ± 2° C.and about 50% ± 2% relative humidityfor 2 hours prior to testing. Rolls with cores that are crushed, bent ordamaged should not be tested. Insert sample shaft through the testroll’s core and then mount the roll and shaft onto the lower stationaryfixture. Secure the sample shaft to the vertical prongs then align themidpoint of the roll’s width with the probe. Orient the test roll’s tailseal so that it faces upward toward the probe. Rotate the roll 90degrees toward the operator to align it for the initial compression.

Position the tip of the probe approximately 2 cm above the surface ofthe sample roll. Zero the crosshead position and load cell and start thetensile program. After the crosshead has returned to its startingposition, rotate the roll toward the operator 120 degrees and in likefashion acquire a second measurement on the same sample roll.

From the resulting Force (N) verses Distance (mm) curves, read thepenetration at 7.00 N as the Roll Firmness and record to the nearest 0.1mm. In like fashion analyze a total of ten (10) replicate sample rolls.Calculate the arithmetic mean of the 20 values and report Roll Firmnessto the nearest 0.1 mm.

Free Fiber End Measurement Method

The Free Fiber End measurements are obtained from analysis of sampleimages acquired using a flatbed scanner of the torn line of perforationedge of fully separated fibrous structure product specimen sheets. Theresulting image is then thresheld, identifying the boundary along theperforation edge the sample containing the free fibers in a binaryimage, and the path length of the binary boundary along the perforationedge measured using an image analysis program. The ratio of the freefiber path length to the length of the actual line of perforationexcluding any free fibers is calculated.

Sample Preparation

Samples for Free Fiber End measurement are obtained from the fullyseparated fibrous structure product specimen sheets remaining aftercompletion of the Full Sheet Average Trapezoidal Tearing Force test.

Image Acquisition

Free Fiber End measurements are performed on images generated using aflatbed scanner capable of scanning in reflectance mode at a resolutionof 6400 dpi and 8 bit grayscale (a suitable scanner is the EpsonPerfection V750 Pro, Epson, USA). The scanner is interfaced with acomputer running image analysis software (suitable image analysissoftware is ImageJ v. 1.46, National Institute of Health, USA). Thesample images are distance calibrated against an acquired calibrationimage of a ruler certified by NIST at the same resolution as the sampleimage. The sample is scanned with a black glass tile (P/N 11-0050-30,available from HunterLab, Reston, VA) as the background. The free fiberends along the torn line of perforation edge in the scanned sample imageare measured using the image analysis software. All testing is performedin a conditioned room maintained at about 23 ± 2° C. and about 50 ± 2 %relative humidity.

Lay the sample flat onto the center of the scanner bed, and place theblack glass tile on top of the sample covering it completely. Orient thesample so that the torn line of perforation edge is aligned generallyparallel with and perpendicular to the sides of the scanner’s glasssurface. Close the lid and acquire a scanned image of the entire tornline of perforation edge in reflectance mode at a resolution of 6400 dpi(~4 µm/pixel) and 8 bit grayscale. The resultant image will have thetorn line of perforation edge centered across the entire field of view.Save the image as an uncompressed TIFF format file. In like fashion,scan the remaining four replicate samples.

Image Analysis

Open the calibration image file in the image analysis program andperform a linear distance calibration using the imaged ruler. Thisdistance calibration scale will be applied to all subsequent specimenimages prior to analysis. Open the sample image in the image analysisprogram. Threshold the image at an appropriate graylevel (GL) value togenerate a binary image. The appropriate threshold value will segregatethe sample region, with its free fibers along the torn line ofperforation edge, from the black background, while maintaining theoriginal dimensions of the free fibers. Initially, the binary image willdisplay the regions containing the sample, those with graylevels abovethe threshold value as white (GL value of 0), and the regions containingthe black background, those with graylevels below the threshold value asblack (GL value of 255). Use the fill holes operation to fill in anyvoids within the black background region. Invert the image so that thesample region above the threshold value will now appear as black (GLvalue of 255), and those of the background as white (GL value of 0). Usethe fill holes operation to fill in any voids within the sample region.

Using the image analysis software, measure the path length of the binaryboundary along the perforation edge the sample containing the freefibers in the binary image. Calculate the ratio of the sample boundarylength with the free fibers to the measured total line of perforationlength excluding any free fibers as measured by the Perforation and BondArea Length Measurement Method, and record this Free Fiber End value tothe nearest 0.1 units. In like fashion, analyze the remaining foursample images. Calculate and report the average Free Fiber End values tothe nearest 0.01 units for the five replicates.

Perforation and Bond Area Length Measurement Method

The perforation and bond area length measurements are obtained fromanalysis of sample images acquired using a flatbed scanner of the lineof perforation across a fibrous structure product specimen sheet.

Sample Preparation

Samples for perforation and bond area length measurement are twoadjacent sheets of a fibrous structure product fibrous structure productconnected by a line of perforation. Do not test sheet samples withdefects such as perforation skips, wrinkles, tears, incompleteperforations, holes, etc. At all times the sample should be handled insuch a manner that perforations are not damaged or weakened.

Image Acquisition

Perforation and bond area length measurements are performed on imagesgenerated using a flatbed scanner capable of scanning in reflectancemode at a resolution of 6400 dpi and 8 bit grayscale (a suitable scanneris the Epson Perfection V750 Pro, Epson, USA). The scanner is interfacedwith a computer running image analysis software (suitable image analysissoftware is ImageJ v. 1.46, National Institute of Health, USA). Thesample images are distance calibrated against an acquired calibrationimage of a ruler certified by NIST at the same resolution as the sampleimage. The sample is scanned with a black glass tile (P/N 11-0050-30,available from HunterLab, Reston, VA) as the background. The lengths ofperforations and bond areas along the line of perforation in the sampleimage are measured using the image analysis software. All testing isperformed in a conditioned room maintained at about 23 ± 2° C. and about50 ± 2 % relative humidity.

Lay the sample flat onto the center of the scanner bed, and place theblack glass tile on top of the sample covering the line of perforationcompletely. Orient the sample so that the center of the line ofperforation is aligned generally parallel with and perpendicular to thesides of the scanner’s glass surface. Close the lid and acquire ascanned image of the entire line of perforation in reflectance mode at aresolution of 6400 dpi (~4 µm/pixel) and 8 bit grayscale. The resultantimage will have the line of perforation centered across the entire fieldof view. Save the image as an uncompressed TIFF format file. In likefashion, scan four more replicate samples.

Image Analysis

Open the calibration image file in the image analysis program andperform a linear distance calibration using the imaged ruler. Thisdistance calibration scale will be applied to all subsequent specimenimages prior to analysis. Open the sample image in the image analysisprogram.

Using the image analysis software, measure the linear distance of eachindividual perforation along the line of perforation and record each ofthese perforation lengths to the nearest 0.1 mm. Using the imageanalysis software, measure the linear distance of each individual bondarea along the line of perforation and record each of thesenon-perforation lengths to the nearest 0.1 mm. Sum all of theperforation lengths and record as the total perforation length to thenearest 0.1 mm. Sum all of the bond area non-perforation lengths andrecord as the total non-perforation length to the nearest 0.1 mm. Sumtogether the total perforation length and non-perforation length andrecord as the total line of perforation length to the nearest 0.1 mm.Divide the total perforation length by the total line of perforationlength and multiply by 100 and record as the percent perforation. Dividethe total non-perforation length by the total line of perforation lengthand multiply by 100 and record as the percent bond area non-perforation.In like fashion, analyze the remaining four sample images. Calculate andreport the average all perforation and bond area length measurements forthe five replicates.

The dimensions and values disclosed herein are not to be understood asbeing strictly limited to the exact numerical values recited. Instead,unless otherwise specified, each such dimension is intended to mean boththe recited value and a functionally equivalent range surrounding thatvalue. For example, a dimension disclosed as “40 mm” is intended to mean“about 40 mm.”

Every document cited herein, including any cross referenced or relatedpatent or application, is hereby incorporated herein by reference in itsentirety unless expressly excluded or otherwise limited. The citation ofany document is not an admission that it is prior art with respect tothis disclosure or that claimed herein or that it alone, or in anycombination with any other reference or references, teaches, suggests,or discloses any such invention. Further, to the extent that any meaningor definition of a term in this document conflicts with any meaning ordefinition of the same term in a document incorporated by reference, themeaning or definition assigned to that term in this document shallgovern.

While particular forms of the present disclosure have been illustratedand described, it would be obvious to those skilled in the art thatvarious other changes and modifications can be made without departingfrom the spirit and scope of the disclosure. It is therefore intended tocover in the appended claims all such changes and modifications that arewithin the scope of this disclosure.

What is claimed:
 1. A roll of sanitary tissue product comprising a shaped line of weakness, wherein the roll of sanitary tissue product exhibits a roll compressibility of from about 4% to about 10% and a LWP Factor of greater than about
 8. 2. The roll of claim 1, wherein the roll of sanitary tissue product exhibits a roll compressibility of from about 4% to about 7%.
 3. The roll of claim 1, wherein the sanitary tissue product exhibits a LWP Factor of greater than about
 10. 4. The roll of claim 1, wherein the sanitary tissue product exhibits a LWP Factor of between about 8 and about
 25. 5. The roll of claim 1, wherein the sanitary tissue product exhibits a Basis Weight of less than about 50 gsm as measured according to the Basis Weight Test Method.
 6. The roll of claim 1, wherein the sanitary tissue product exhibits a Geometric Mean Elongation of greater than about 15%.
 7. The web of claim 1, wherein the sanitary tissue product exhibits a Basis Weight of greater than about 15 g/m2 to about 120 g/m2 as measured according to the Basis Weight Test Method.
 8. The roll of claim 1, wherein the sanitary tissue product exhibits a Dry Burst of greater than about 100 g as measured according to the Dry Burst Test Method.
 9. The roll of claim 1, wherein the sanitary tissue product exhibits a Dry Burst of greater than about 100 g to about 1000 g as measured according to the Dry Burst Test Method.
 10. The roll of claim 1, wherein the sanitary tissue product exhibits a Dry Burst of less than about 660 g as measured according to the Dry Burst Test Method.
 11. The roll of claim 1, wherein the sanitary tissue product exhibits a Dry Burst of from about 100 g to less than about 660 g as measured according to the Dry Burst Test Method.
 12. The roll of claim 1, wherein the sanitary tissue product comprises cellulosic pulp fibers.
 13. The roll of claim 1, wherein the sanitary tissue product is a throughdried fibrous structure.
 14. The roll of claim 1, wherein the sanitary tissue product is an uncreped fibrous structure.
 15. The roll of claim 1, wherein the sanitary tissue product is toilet tissue.
 16. A roll of sanitary tissue product comprising a shaped line of weakness, wherein the roll of sanitary tissue product exhibits a roll compressibility of from about 4% to about 10% and a LWP Factor of greater than about 8, and a Geometric Mean Elongation of greater than about 15% as measured according to the Dry Tensile Strength Test Method.
 17. The roll of claim 16, wherein the roll of sanitary tissue product exhibits a roll compressibility of from about 4% to about 7%.
 18. The roll of claim 16, wherein the sanitary tissue product exhibits a LWP Factor of greater than about
 11. 19. The roll of claim 16, wherein the sanitary tissue product exhibits a LWP Factor of between about 8 and about
 25. 20. The roll of claim 16, wherein the sanitary tissue product exhibits a Geometric Mean Elongation of greater than about 17% as measured according to the Dry Tensile Strength Test Method.
 21. The roll of claim 16, wherein the sanitary tissue product exhibits a Basis Weight of less than about 50 gsm as measured according to the Basis Weight Test Method. 